Question

answer with best the explanation...of question 10

Answer 1

We know that Two angles are complementary when they add up to 90 degrees.

Let one angle be x.

Then, the complement angle will be 90 - x.

Given that An angle is 30 more than one half of its complement.

= > x = (1/2) * (90 - x) + 30

= > x = (90 - x)/(2) + 2 * 30

= > 2x = (90 - x) + 60

= > 2x = 90 - x + 60

= > 2x + x = 150

= > 3x = 150

= > x = 50.

Therefore the angle in degrees is 50.

Hope it helps!