An angle measures 74° less than the measure of a supplementary angle. What is the measure of each angle?

Step-by-step explanation:

Call the measure of one angle n. The other angle, which is 74° less, measures n - 74°.

Since the angles are supplementary, their measures must add to 180°. Set up an equation and solve for n.

n

+

n

- 74.0°

= 180.0°

2

n

- 74.0°

= 180.0°

2

n

- 74.0°

+ 74.0°

=

180.0° + 74.0°

2

n

= 254.0°

2

n

: 2

=

254.0° : 2

n

= 127.0°

The first angle measures 127°. Now plug in n = 127° to find the measure of the other angle, n - 74°.

n

- 74.0°

=

127.0° - 74.0°

= 53.0°

So, the two angles measure 127° and 53°.

One would be 90° and the other would be 16°