Question

Angle ABC and angle DEF are complementary angles. The measure of angle ABC is twice the measure of angle DEF. Write an equation to find x, the measure of angle DEF, and then solve for x.

Answer 1

Explanation:

∠DEF = x

∠ABC = 2*x = 2x

∠DEF + ∠ABC = 90 {as they are complementary}

x +2x = 90

3x = 90

x = 90/3

x = 30