Exterior Angles of a Triangle Answers

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Hassan lined up the interior angles of the triangle along the line below. What is the measure of the missing angle along the line?

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A
30°
B
38°
C
112°
D
150°
2
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The measure of one interior angle of a triangle is 45°. What can you conclude about the other two interior angles of the triangle?

A
One of the other angles must be a right angle.
B
The sum of the measures of the other two angles is 135°.
C
The other two angles must be acute angles.
D
One of the other angles must have a measure greater than 90°.
3

Lines and are parallel. Which angles represent alternate interior angles?

Question illustration
A
angles A and C
B
angles B and D
C
angles C, D, and E
D
angles B and C
4

Lines p and q are parallel. What is the measure of angle 3 in degrees?

Question illustration
A
27°
B
33°
C
60°
D
153°
5

What is the sum of the measures of the interior angles of any triangle?

A
100°
B
180°
C
270°
D
360°
6

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°
7

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.
8

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.
9

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°.
10

Aliya lined up the interior angles of the triangle along line p below. When the measure of angle A increases in the triangle, what happens to angle A on line p?

Question illustration
A
It also increases.
B
It decreases.
C
It stays the same.
D
It may increase, or it may stay the same.

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