Angle Relationships
Find the Missing Angle
Triangle Sum Theorem
Exterior Angle Theorem
Vocabulary
100

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

48 degrees

100

What is the complement of an angle that measures 12 degrees?

78 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
If the remote interior angles measure 26 and 134 degrees, what is the measure of the exterior angle?
160 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
If one remote interior angle is a right angle, and the other measures 45 degrees, what is the measure of the exterior angle?
135 degrees.
200

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

Equiangular Triangle.

300

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

58 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?
300
Find x if the remote interior angles are represented by x+3 and x, and the exterior angle measures 149 degrees.
x = 73.
300

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

Straight Angle.

400

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

Vertical Angles.

400
Angle A and B are complementary. Angle A is represented by x+2 and Angle B is represented by x+8. Find the angle measures.
Angle A is 42. Angle B is 48.
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 does the Exterior Angle Theorem state?
The exterior angle is equal to the sum of the remote interior angles.
400

What is the relationship of two angles that add up to 180? You have to spell it right to get the credit.

Supplementary Angles.

500

Two angles that share a common vertex and a common side

adjacent

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
Find x when the remote interior angles are represented by 2x and 90 degrees, and the exterior angle is represented by 4x+10.
x = 40.
500

What is the Exterior Angle Theorem "formula"?

exterior angle = sum of two non adjacent interior angles

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