In the figure if $$m\angle12=74\degree.$$ Find $$m\angle4\ $$ and give proper reasoning.

$$74\degree$$ because they are corresponding angles.

$$106\degree$$ because alternate interior angles.

$$106\degree$$ because corresponding angles.

74\degree 7 4 ° because they are consecutive interior angles.

If find and give proper reasoning.

53\degree 5 3 ° because alternate exterior angles.

$$127\degree$$ because alternate exterior angles.

127\degree 1 2 7 ° because alternate interior angles.

$$53\degree$$ because consecutive interior angles.

What is $$m\angle Y\ $$ if $$m\angle X=72\degree$$ ?

$$m\angle Y=108\degree$$ because consecutive interior angles.

$$m\angle Y=72\degree$$ because alternate interior angles.

$$m\angle Y=\ 108\degree$$ because corresponding angles.

$$m\angle Y=72\degree\ $$ because alternate exterior angles.

Solve for x and give proper reasoning.

x=9 because if two <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ∥ \parallel ∥ lines are cut by a transversal then alternate exterior angles are <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ≅ \cong ≅ .

x=8 because if two $$\parallel$$ lines are cut by a transversal then alternate interior angles are $$\cong$$ .

x=9 because if two <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ∥ \parallel ∥ lines are cut by a transversal then consecutive interior angles are <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ≅ \cong ≅ .

x=4 because if two <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ∥ \parallel ∥ lines are cut by a transversal then corresponding angles are <span class="katex-mathml" style="border-bottom-color: rgb(0, 0, 0); border-bottom-style: none; border-bottom-width: 0px; border-image-outset: 0; border-image-repeat: stretch; border-image-slice: 100%; border-image-source: none; border-image-width: 1; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; border-top-color: rgb(0, 0, 0); border-top-style: none; border-top-width: 0px; clip: rect(1px, 1px, 1px, 1px); height: 1px; margin-bottom: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; -ms-high-contrast-adjust: none; overflow: hidden; padding-bottom: 0px; padding-left: 0px; padding-right: 0px; padding-top: 0px; position: absolute; width: 1px;"> ≅ \cong ≅ .

Parallel Lines Cut by Two Transversals

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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15 questions

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MULTIPLE CHOICE QUESTION

1 min • 12 pts

Find y.

130

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Angle 1 = 27^oFind the measure of angle 4

27^o

153^o

63^o

90^o

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Select the figure that makes lines r and t parallel.

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Yes, Corresponding angles are congruent

Yes, Alternate Interior angles are congruent

Yes, Alternate Exterior angles are congruent

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

Which of the following relationship proves that j is parallel to k?

∠3 and ∠4 are supplementary

∠4 and ∠5 are supplementary

∠1 ≅ ∠3

∠2 ≅ ∠3

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____.

Vertical angles

Corresponding Angles

Supplementary Angles

Alternate Interior Angles

Tags

CCSS.8.G.A.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

What is the value of x?

Tags

CCSS.7.G.B.5

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Parallel Lines Cut by Two Transversals

Find y.

Angle 1 = 27^oFind the measure of angle 4

Select the figure that makes lines r and t parallel.

Which of the following relationship proves that j is parallel to k?

Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____.

What is the value of x?

Solve for x.

Solve for x.

Name the angle relationship between x and y.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Parallel Lines Cut by Two Transversals

Find y.

Angle 1 = 27oFind the measure of angle 4

Select the figure that makes lines r and t parallel.

Which of the following relationship proves that j is parallel to k?

Angles on the same side of a transversal, in corresponding positions, and are congruent are called _____.

What is the value of x?

Solve for x.

Solve for x.

Name the angle relationship between x and y.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Angle 1 = 27^oFind the measure of angle 4