Question

Supplementary Angles Quick Check
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Question
Use the image to answer the question.

A horizontal line and a line slanting slightly upwards from left to right are intersected by a nearly vertical line. The supplementary angles formed above the point of intersection with the nearly vertical line and the horizontal line are an unlabeled angle and an angle labeled A. Angle A is on the right and is slightly greater than 90 degrees. The supplementary angles formed above the point of intersection with the nearly vertical line and the other line running left to right are an unlabeled angle and an angle labeled B. Angle B is on the left and is slightly less than 90 degrees.

Are the angles supplementary if m∠A=98°
and m∠B=88°
?

(1 point)
Responses

Yes, they are a supplementary pair.
Yes, they are a supplementary pair.

No, they do not add up to 90°
.
No, they do not add up to 90 degrees .

No, they do not add up to 180°
.
No, they do not add up to 180 degrees .

No, they are not adjacent.
No, they are not adjacent.
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page 11 of 11

Answer 1

To determine if angles A and B are supplementary, we need to check if their measures add up to 180 degrees.

Given:
- \( m∠A = 98° \)
- \( m∠B = 88° \)

Now, let's add the two angles together:

\[
m∠A + m∠B = 98° + 88° = 186°
\]

Since 186 degrees is greater than 180 degrees, angles A and B do not add up to 180 degrees. Therefore, the correct response is:

**No, they do not add up to 180 degrees.**