Two horizontal parallel lines are intersected by a line slanting from top right to bottom left. The supplementary angles formed above the point of intersection with the top horizontal line are an unlabeled angle and an angle labeled A. Angle A is on the right. Angle A is acute but slightly larger than a 45 degree angle. The supplementary angles formed above the point of intersection with the bottom horizontal line are an unlabeled angle and an angle labeled B. Angle B is on the left. Angle B is obtuse but slightly less than a 135 degree angle.
Are the angles supplementary if m∠A=53°
and m∠B=127°
?
(1 point)
Responses
No, their measures do not add up to 90°
.
No, their measures do not add up to 90 degrees .
No, their measures do not add up to 180°
.
No, their measures do not add up to 180 degrees .
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
No, they are not adjacent.
1 answer
To determine if angles A and B are supplementary, we need to check if their measures add up to 180 degrees.
Given:
Now, we can add the two angles together:
m∠A + m∠B = 53° + 127° = 180°
Since the sum of the measures of angles A and B is 180 degrees, we can conclude that they are indeed supplementary.
The correct response would be:
Yes, they are a supplementary pair.
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1 answer
1 answer
1 answer