Triangle Theorems and Special Angle Relationships

Triangles and Special Angles Review - 8th G.

By Ana Alcaraz

Fill in the Blanks

How many degrees are in ALL triangles?

Multiple Choice

Which of the following angles are remote interior angles to

$$\angle d$$  ?

• $$\angle a\ and\ \angle b$$  

• $$\angle a\ and\ \angle c$$  

• $$\angle b\ and\ \angle d$$  

• $$\angle a,\ \angle b,\ and\ \angle c$$  

Multiple Choice

What is the measure of angle b?

• 146

• 34

• 36

• 136

Multiple Choice

Which angle is the exterior angle?

• Angle Y

• Angle X

• Angle Z

• Angle W

Multiple Choice

Which two angles are the remote interior angles to Angle W?

• Angle X and Angle Y

• Angle X and Angle Z

• Angle Y and Angle Z

• Angle Z and Angle W

Multiple Choice

Find the indicated angle measure.

(What is ?)

• 85

• 78

• 95

• 110

Multiple Choice

Write the equation that would help you solve for x.

• $$\left(x+59\right)+\left(84\right)+\left(x+51\right)=180$$

• $$\left(x+59\right)+84=\left(x+51\right)$$  

Multiple Choice

Solve for x.

• 5

• 12

• -7

• -6

Same relative location at different intersections; congruent

Multiple Choice

Which is the corresponding angle to ∠6?

• ∠2

• ∠3

• ∠4

• ∠5

• ∠7

Multiple Choice

Which is the corresponding angle to ∠3?

• ∠2

• ∠3

• ∠4

• ∠5

• ∠7

Multiple Choice

∠4 and ∠8 are corresponding. If ∠8 measures 135°, what does ∠4 measure? Why?

• 135° because corresponding angles are congruent

• 180° - 135° = 45° becuase corresponding angles are supplimentary

Between the parallel lines; opposite sides of transversal; congruent

Multiple Choice

Which is the alternate interior angle to ∠5?

• ∠1

• ∠3

• ∠4

• ∠6

• ∠8

Multiple Choice

If ∠3 measures 40°, what is the measure of ∠6? Why?

• 40° because they are alternate interior angles and congruent

• 40° because they are corresponding angles and congruent

• 140° because they are alternate interior angles and supplimentary

• 140° because they are vertical angles and supplimentary

Outside the parallel lines; opposite sides of the transversal; congruent

Multiple Choice

Which is the alternate exterior angle to ∠2?

• ∠1

• ∠3

• ∠4

• ∠6

• ∠7

Multiple Choice

If ∠8 measures 128°, how much does ∠1 measure? Why?

• 180° because they are supplimentary angles

• 128° because they are alternate exterior angles and congruent

• 128° because they are corresponding angles and congruent

Between parallel lines; same side of transversal; supplimentary

Outside parallel lines; same side of transversal; supplimentary

Multiple Choice

Which is the alternate exterior angle to ∠2?

• ∠1

• ∠3

• ∠6

• ∠7

• ∠8

Multiple Choice

Which is the same side exterior angle to ∠2?

• ∠1

• ∠3

• ∠6

• ∠7

• ∠8

Multiple Choice

If ∠7 measures 49°, how much does ∠1 measure? Why?

• 131° because they are same side exterior angles and supplimentary

• 131° because they are alternate exterior angles and supplimentary

• 131° because they are corresponding angles and supplimentary

Share vertex; form a line; supplimentary

Across from each other at an intersection; congruent

Multiple Choice

Which of these angles is NOT congruent to angle 5?

• Angle 6

• Angle 8

• Angle 1

• Angle 4