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Angle Relationships
Find the Missing Angle
Triangle Sum Theorem
Vocabulary
100
Two angles are corresponding. The measure of the first angles is 42 degrees, what is the measure of the second angle?
42 degrees
100

What are the angle measures of an Equilateral triangle?

60 degrees.

100
In Triangle ABC, angle A is 37 degrees, angle B is 68 degrees, what is the measure of angle C?
75 degrees.
100
What type of triangle has two congruent sides?
Isosceles Triangle.
200
If angle 1 and 2 are supplementary and the measure of angle 1 is 112, what is the measure of angle 2?
68 degrees.
200
What is the supplement of an angle that measures 99 degrees?
81 degrees.
200
In Triangle DEF, the measure of angle E is 30, angle F is a right angle, what is the measure of angle D?
60 degrees.
200

What is the name of a triangle with three equal angles?

Equilateral Triangle

300

If angle 1 and 2 are both AIA, what is the measure of angle 1 if angle 2 measures 32 degrees?

32 degrees.

300
What is measure of an angle that is vertical to an angle of 113 degrees?
113 degrees.
300

In Triangle GHI, if angle G is x, angle H is 2x, and angle I is 3x, what are the missing angle measures?

G = 30 degrees, H= 60 degrees, and I = 90 degrees

300

What is the name of an angle that is 180 degrees.

Supplementary Angle.

400
What is the relationship of two angles that share a vertex and form when lines two lines intersect?
Vertical Angles.
400

Triangle ABC is an isosceles triangle, with segments AB and CB being congruent. If angle B is 100 degrees, then what is the measure of angle A? 

Angle A is 40 degrees.

400
Is it possible to have two right angles in a triangle? Why or why not?
No, because two right angles add up to 180 degrees.
400

What two postulates allow you to add angles or segments together to make a larger angle or segment. 

For example: AB + BC = AC

Angle addition postulate and segment addition postulate. 

500
Name the four angle relationships that tell us the angles are congruent.
Vertical, Corresponding, Alternate Interior, and Alternate Exterior
500
Angle A and B are vertical angles. Angle A is represented by 3x+12 and Angle B is represented by 2x+30. Find the angle measures.
Angle A and B are 66 degrees.
500
In Triangle MNO, if angle M is 3x, angle N is 2x+40, and angle I is x-20, what is the sum of the three angles?
180 degrees.
500

What are the five ways to prove triangles are congruent?

SSS, SAS, AAS, ASA, and HL