Question

Two angles are supplementary and the larger is 30 degrees less than two times the smaller.
Find the angles.

Answer 1

Answer:

Explanation:

Smaller angle = a

Larger angle = 2a-30°

Now, Sum of supplementary angles is 180°

Then, a+2a-30° = 180°

=>3a-30°= 180°

=>3a=180°-30°

=>3a=150°

=>a=150°\3

=>a=50°

So, Smaller angle=a= 50°

and larger angle= 2a-30°=2×50°-30°=100°-30°=70°.