Angle Relationships
Triangle Angle Sum
Determine
Triangles
Angles
100

Two angles are congruent. The measure of the first angles is 42 degrees, what is the measure of the second angle

What is 42?

100

What is the value of angle T?

T = 71

100

Does this form a right triangle?

No

100

What is the value of x?

x=120

100

Angles 3 and 5?

Alternate Interior

200

What is the relationship between angles 3 and 6 ? 


What are Alternate Interior Angles.

200

What is the sum of all angles inside a triangle?


180 degrees

200

A wrecking ball is suspended on a chain from a crane. The chain is 25 feet long, and the distance from the bottom of the wrecking
ball to the crane is 8 feet. What is the length
of the crane? Round to the nearest tenth.  

26.2

200

What is the value of x?

x=38

200

Angles 2 and 7?

Alternate Exterior

300

If the measure of angle 4 is 112, what is the measure of angle 6? 

68

300

Find the value of ∠ x


∠ x = 70

300

A fishing line that is 35 inches long is hanging down from the tip of a fishing pole. The bottom of the line to the base of the pole is 40 inches. How long is the fishing pole? Round to the nearest tenth.

53.2

300

In ∆ABC, the measures of angles A, B, and C, respectively, are in the ratio 1:2:3. Find the measure of each angle.  

a= 30

b= 60

c= 90

300

Angles 1 and 6?

Corresponding Angles

400

What is the relationship between angles 5 and 8?

 

What are Vertical/ congruent Angles 

400

What is the value of ∠ a?


∠ a = 87

400

 What is the length of a kite string that is 6 meters above and 9 meters away from where it is being held? Round to the nearest tenth. 

10.8

400

In ∆XYZ, the measures of angles X, Y, and Z, respectively, are in the ratio 1:10:25. Find the measure of each angle.

x= 5

y= 50

z= 125

400

Diego’s skis are leaning at an angle against a fence railing and are parallel to each other. Find m∠3 if    m∠2 = 158°.

22

500

If the measure of angle 2 is 37 degrees, what is the measure of angle 7? 


What is 37 

500

Find the value of x:


What is -8?

500

The diagonal of a square tool is 17 inches, and the length of the square tool is 15 inches. Calculate the width of the square tool to the nearest inch

8

500

 In the tent, m∠ 1 = 50⁰ and m∠ 2 = 65⁰. Find the measure of ∠ 3.

115

500

In the figure, line e is parallel to line f. The measure of ∠5 is 27°. What is the measure of ∠3?

117