Question

21- Among two supplementary angles, the bigger angle is
40° more than the smaller angle. Find the measure of the smaller angle.
a) 60° b) 70° c) 80°
d) 750​

Answer 1

Step-by-step explanation:

Let the measure of smaller angle = x

According to the condition,

the measure of the larger angle = x+ 40

We know that, sum of the Supplementry angle is

equal to 180°.

= x+ x + x + 40 = 180°

= 2x = 140

= x = 70

The measure of the smaller angle = x =70° and

The measure of the larger angle = x + 40 = 70 + 40 =110°.