Question

The measure of an angle exceeds three times the measure of it's supplementary by 20° . Find its measure

Answer 1

Answer:

30 and 150

Step-by-step explanation:

Let first angle be x

other angle 3 ( x + 20 )

We know that sum of supplementary is 180

According to question

x + 3 ( x + 20) = 180

x + 3 x + 60 = 180

4 x = 180 - 60

4 x = 120

x = 30

So first angle = 30

other angle = 3 ( 30 + 20)

                     = 150

Verification:

Their sum should be 180

Add both angles we get

30 + 150

180

Hence verified.

Thus we get answer.