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°

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°