Supplementary Angles Quick Check

2 of 52 of 5 Items

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

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

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

No, they are not adjacent.
No, they are not adjacent.

Yes, they are a supplementary pair.

No, they do not add up to 180°.

Supplementary Angles Quick Check

3 of 53 of 5 Items

Question
Use the relationship between supplementary angles ∠a
and ∠b
. What is m∠a if m∠b=121°?(1 point)
Responses

59°
59 degrees

31°
31 degrees

121°
121 degrees

301°

59°

Supplementary Angles Quick Check

4 of 54 of 5 Items

Question
Angles a and b are supplementary angles. What is the value of m∠a if m∠b=43° ?(1 point)
Responses

223°
223 degrees

43°
43 degrees

137°
137 degrees

47°

137°

no

Apologies for the incorrect response. If angles a and b are supplementary angles, the sum of their measures is 180 degrees. Therefore, if m∠b=43°, then m∠a = 180° - 43° = 137°.

Supplementary Angles Quick Check

5 of 55 of 5 Items

Question
Use the image to answer the question.

An illustration shows a horizontal line with arrows at both ends. Another line with arrows at both ends extends from top right to bottom left and intersects the horizontal line in the center. The intersecting line creates 4 angles. The angle at the top left is labeled x degrees. The angle at top right is labeled y degrees. The angles at bottom left and right below the horizontal line are not labeled.

Use the relationship between supplementary angles to determine the value of y° if x°=125° .

(1 point)
Responses

35°
35 degrees

55°
55 degrees

125°
125 degrees

305°

Since angles x and y are supplementary, their sum is 180 degrees. Therefore, if x° = 125°, then y° = 180° - 125° = 55°.