Question

One angle is 15less than 2 times another. Find the measure of each angle if: a.They are complements of each other b.
They are supplements of each other.

Answer 1

Answer:  (c) 35°   (d) 65°

Step-by-step explanation:

Let x represent one of the angles.

Then the other angle is represented by 2x - 15.

Complementary means their sum is 90°

Supplementary means their sum is 180°

a) x + (2x - 15) = 90°

          3x - 15  = 90°

          3x        = 105°

            x        = 35°

b) x + (2x - 15) = 180°

          3x - 15  = 180°

          3x        = 195°

            x        = 65°