Question

The difference between the measures of two supplementary is 42. Find both angles.​

Answer 1

111 deg and 69 deg

Explanation:

let the angles be x and y

given:

x - y = 42 degrees -------> eq 1

also given that they are supplemantry,

i.e x + y = 180 degrees ----------> eq 2

by elimination,

eq 1 + eq 2

(x-y) + (x+ y) = 42 + 180

2x = 222

x = 111 degrees (substitute back into eq 2)

111 + y = 180

y = 180 - 111

y = 69 deg