Question

.Among two supplementary angles, the measure of the larger angle is 5 times more than
the measure of the smaller. Find the smaller angle.

Answer 1

Step-by-step explanation:

among two suppl. angle larger one is 5 times more than the smaller so let the angle x

5x + x = 180

6x = 180

x = 180/6

x = 30

so one angle is 30, and another was 5*30 = 150

150+30 =180. √

Answer 2

Answer:

Let the larger supplementry angle be 'x' degree and smaller be 'y' degree

As per question

x+y=180(eq1)

x=5y

x-5y=0(eq2)

subtrcting eq 2 from 1

6y=180

y=30

putting y=30 in eq1

x+30=180

x=150