Angles and Triangles Review

Angles and Triangles Review

These questions are to help you prepare for tomorrows Test!

Transversal

a transversal is a line that passes through two lines in the same plane at two distinct points.

Parallel lines and Transversals

When a TRANSVERSAL intersects a pair of PARALLEL LINES , 8 angles are formed.

These angles have special relationships that you have to remember

Another Type of angle pairs formed is Corresponding Angles

When two parallel lines are crossed by another line (Transversal), the angles in corresponding positions are called corresponding angles.

The Angles are either Exterior or Interior

-Interior Angles of a Transversal are created where a transversal crosses two parallel lines. Each of the interior angles are INSIDE the parallel lines.

-Exterior Angles are created where a transversal crosses two parallel lines. Each of these angles are OUTSIDE the parallel lines.

Multiple Choice

A line that passes through 2 or more lines is called a ______________.

• transitive
• passer through line
• transversal
• bisector

Multiple Choice

Name the corresponding angle to angle 4.

• angle 8
• angle 6
• angle 2
• angle 5

Multiple Choice

Find the value of x. 

• x = 133
• x = 47

Multiple Choice

Find y.

• 50
• 130

Fill in the Blanks

11) Given the two parallel lines cut by a transversal,

What is the measure of $\angle4$  if  $m\angle8=76\degree$  ?

Multiple Choice

Which of these angles is NOT congruent to angle 5?

• Angle 6
• Angle 8
• Angle 1
• Angle 4

Multiple Choice

Solve for angle 5

• 65
• 60
• 110
• 115

Angle Sum of a Triangle

• The sum of the measures of the interior angles of a triangle is 180^o.

• <1 + <2 + <3 = 180

Multiple Choice

In a triangle, how many total degrees are there?

• 100%
• 180 degrees
• it varies
• 360 degrees

Multiple Choice

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

• 45°, 65°, 70°

• 150°, 110°, 100°

• 50°, 50°, 50°

• 90°, 90°, 90°

Finding x

Remember the sum of the remote interior angles equals the exterior angle.

So........

63 + 86 = x

149 ^o = x

Finding x when it is a interior angle!

• The sum of the remote interior angles equals the exterior angle.

• x + 40 = 100

• -40 from both sides

• x = 60^o

Multiple Choice

Find the measure of the missing angle.

• 90^o

• 10⁰

• 130^o

• 50^o

Multiple Choice

Find the measure of angle x. Be careful! They did NOT give you two remote interior angles.

• 138

• 96

• 93

• 87

Multiple Choice

Hint: Remeber their sum is 180^o.

• 11

• 25

• 35

• 50

Multiple Choice

Which of the following angles can you add together to equal angle d? 

• Angle a and Angle b
• Angle b and Angle c
• Angle a and Angle c
• Angle a and Angle b and Angle c

Multiple Choice

What is the measure of angle b?

• 36^o
• 56^o
• 63^o
• 117^o

Multiple Choice

Which of the following terms best describes Angles a and b?

• Remote interior angles

• Corresponding angles

• Exterior angles

• Interior angles

Interior Angle Sum

Multiple Choice

Find the sum of the angle measures by dividing the polygon into triangles.

• 720°

• 4°

• 540°

• 900°

Multiple Choice

Find the sum of the angle measures by dividing the polygon into triangles.

• 3°

• 720°

• 360°

• 540°

Multiple Choice

Find the sum of the angle measures by dividing the polygon into triangles.

• 1080°

• 900°

• 720°

• 5°

Multiple Choice

Find the value of X

• 94
• 25
• 36
• 180