Question

the difference of two supplementary angle is 30 degree . find the measure of each angle

Answer 1

hey mate!

sum of two supplementary angles is 180°

x+y=180°....(1)

and there difference is given 30°

x-y=30°.......(2)

adding equations 1 and 2 we get

2x =210°

x=105°

putting the value of x in equation 1 you will get y=75°

hence,

the angles are 105° and 75° respectively..

hope it will help you ...

#Phoenix

Answer 2

Suppose This angle are X and Y

X & Y are supplementary angle

So,

X+Y=180....eq(1)

Given difference is 30

X-Y =30.....eq(2)


Eq(1)+Eq(2)

(X+Y) +(X-Y)= 180+30

2X= 210.....ans

X= 105

Y= 180-105= 75.....ans