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, they are not adjacent.
No, they are not adjacent.
Yes, they are a supplementary pair.
Yes, they are a supplementary pair.
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°
.
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 add the measures of the angles: \[ m∠A + m∠B = 53° + 127° = 180° \]
Since their measures add up to 180°, we conclude that angles A and B are supplementary.
So, the correct response is: Yes, they are a supplementary pair.
