192k views
1 vote
. Angles A and B are supplementary. Angle A has a measure of 60°. What is the measure of angleB?The measure of angle B is °.A.150 degreesB.120 degreesC.115 degreesD.100 degrees

User Cpm
by
4.7k points

2 Answers

4 votes

Final answer:

The measure of angle B is 120°.

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180 degrees. In a geometric context, when two angles are adjacent (share a common vertex and side), the sum of their measures equals a straight line. Supplementary angles complement each other, forming a right angle when combined.

Angles A and B are supplementary angles, which means that the sum of their measures is 180°.

Given that angle A has a measure of 60°, we can find the measure of angle B by subtracting angle A from 180°.

= 180° - 60°

= 120°

Therefore, the measure of angle B is 120°.

User Lkrups
by
4.4k points
1 vote

Answer:

B. 120 degrees.

Step-by-step explanation:

Two angles that sum up to 180 degrees are called supplementary angles. For instance, the supplementary angle of 60 degrees is 180-60=120; therefore, its supplementary angle is 120 degrees. These angles are those on a straight line because they sum up to 180 degrees.

Its pairs will either be two right angles (both 90 degrees) or be one acute angle and one obtuse angle. When these two angles are both supplementary to the same angle, the two become of equal measure.

User Bill Weiner
by
4.1k points