Question

15. Two supplementary angles differ by 20%. The smaller of the two measures
(a) 60
(b) 80°
(c) 100
d) 120
Please give me step by step answer. ​

Answer 1

Answer:

The measure of smallest angle is 80°.

Step-by-step explanation:

Let the larger angle be 'x'.

So the smaller angle is 'x-20'.

we know that, sum of two supplementary angle is 180°.

i.e.

$x + x - 20 = 180$

$2x - 20 = 180$

$2x = 180 + 20$

$x = \frac{200}{2 }$

$x = 100$

The smaller angle is 100-20=80°.

Therefore, the measure of smallest angle is 80°.

#Learn more

The sum of two supplementary angles is

https://brainly.in/question/2526447