Question

Angle "a" is a supplement of angle "b," angle "a" is a complement of angle "c," and the measure of angle "b" is 124°. What is the measure of angle "a"?

a) 56°
b) 124°
c) 34°
d) 44°

Answer 1

Angle a is a supplement of angle b and a complement of angle c. The measure of angle b is 124°. To find the measure of angle a, subtract the measure of angle c from 90°.

Step-by-step explanation:

Angle a is a supplement of angle b, which means that the sum of angle a and angle b is 180°. Angle a is also a complement of angle c, meaning that the sum of angle a and angle c is 90°. Given that the measure of angle b is 124°, we need to find the measure of angle a.

To find the measure of angle a, we first find the measure of angle c by subtracting 180° - 124° = 56°. Since the sum of angle a and angle c is 90°, we subtract 56° from 90° to find the measure of angle a: 90° - 56° = 34°. Therefore, the measure of angle a is 34°, so the correct answer is (c) 34°.