Question

If an angle exceeds its complement by 30°, then the measure of two angles are???.

Answer 1

Answer: Let the angle be X degree.

Then its supplement is (180-X) degree

Given that, Angle - Supplement = 30.

or, X-(180- x)=30

or, X-180+X=30

2X-180=30

X=30+180/2

X=210/2

X=105

Now,

180-X=180–105=75

Hence, the angles are 105 and 75 degrees.