Answer:
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°.
