Answers2026 Summer 305 Edgenuity CR_Grade 8 Pre-Algebra_MathSum of Interior Angles of a Triangle

Sum of Interior Angles of a Triangle Answers

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1
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Kellianne lined up the interior angles of the triangle along line p below. Which statements are true for line p? Check all that apply.

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A
It is a straight line with a measure of 360°.
B
It stays the same even if the angles in the triangle change.
C
The line will not be straight if one of the angles in the triangle is changed to an obtuse angle.
D
The line is only straight when one of the angles is a right angle.
E
It represents the sum of the measures of the interior angles of the triangle.
F
The line will not be straight if all the angles in the triangle are acute.
G
It combines the three interior angles of the triangle to form a straight line.
H
It is a straight line with a measure of 180°.
2
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What is the value of x?

Question illustration
A
56°
B
66°
C
124°
D
236°
3

The measure of angle B is , and the measure of angle C is .What is the measure of angle D in degrees?

Question illustration
A
41°
B
45°
C
55°
D
125°
4

Rushawn lined up the interior angles of the triangle along line p below. When the measure of angle C decreases, what happens to the measures of angles A and B on line p?

Question illustration
A
Both sections increase.
B
Both sections decrease.
C
One section increases, and the other section decreases.
D
What will happen to the individual sections cannot be determined, but the size of the two sections together increases.
5

The measure of one angle of a triangle is 105°. What do you know about the measures of the other two angles? Check all that apply.

A
Both angles are acute.
B
The sum of the measures of the two angles is 75°.
C
The sum of the measures of the two angles is 155°.
D
One of the angles is a right angle.
E
The measure of neither angle is more than 75°.
F
The measures of the other angles must be 105° too.
G
The measure of one of the other angles equals 75°.
H
The measure of one of the other angles must be 45°.
6

Which set of angle measures could be the measures of the interior angles of a triangle?

A
60°, 45°, and 70°
B
30°, 85°, and 25°
C
55°, 90°, and 35°
D
110°, 15°, and 45°
7

What is the measure of angle B?

Question illustration
A
78°
B
92°
C
102°
D
282°
8

Lines p and q are parallel. What is the measure of angle 2 in degrees?

Question illustration
A
27°
B
33°
C
60°
D
93°
9

Lines and are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of is 180°.Which statement would be included in a proof of why ?

Question illustration
A
Angles F and H are congruent.
B
Angles A and G are congruent.
C
Angles A and H are congruent.
D
Angles E and C are congruent.
10

Lines and are parallel in the image below. The image will be used to prove that the sum of the measures of the interior angles of is 180°.Which statement would be included in a proof of why ?

Question illustration
A
Angles F and H are congruent.
B
Angles C and E are congruent.
C
Angles A and G are congruent.
D
Angles F and C are congruent.

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