Sum of Interior Angles of a Triangle Answers

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1
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Which statement is true about angle C?

A
The angle is acute.
B
The angle does not make a straight line with the other two.
C
The angle is obtuse.
D
The angle is a right angle.
3

m∠B = 103070✔ 80°

A
10
B
30
C
70
D
✔ 80
4

m∠C = 10✔ 307080°

A
10
B
✔ 30
C
70
D
80
5

The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statements are true? Check all that apply.

A
m∠A = 20°
B
∠B and the angle marked 60° are alternate exterior angles.
C
m∠C = 100° because it is a vertical angle to the angle marked 100°.
D
∠B and ∠C are supplementary angles.
E
m∠A + m∠B + m∠C = 180°
6

Question text not available

Answers:
Selection 1:alternate interior angles
°:70
°:80
°:30
11

Which equation would help find the measure of ∠M?

A
x + 52 + 78 = 180
B
52 + x = 180 + 78
C
180 + 52 = 78 + x
D
180 + x = 78 + 52
14

Question text not available

Answer:

The sum of the interior angles of a triangle is 180°, so m∠B 50° 65° 180°, which means m∠B 65°. Similarly, the three angles on the horizontal line form a straight angle, so m∠2 50° 65° 180°, which means m∠2 65°. Therefore, ∠2 and ∠B are congruent because they have the same measure.

15

The diagram shows parallel lines cut by two transversal lines creating a triangle. Which statements are true? Check all that apply.

A
m∠A = 20°
B
∠B and the angle marked 60° are alternate exterior angles.
C
m∠C = 100° because it is a vertical angle to the angle marked 100°.
D
∠B and ∠C are supplementary angles.
E
m∠A + m∠B + m∠C = 180°
20

Which equation would help find the measure of ∠M?

A
x + 52 + 78 = 180
B
52 + x = 180 + 78
C
180 + 52 = 78 + x
D
180 + x = 78 + 52

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