Finding Missing Angles

Question

<Q and <R are complementary angles. If m<Q is nine less than twice the measure if <R, find measures of both angles.

Answer 1

since Q and R are complementary angles

we know ∠Q + ∠R = 90

since Q = 2R - 9, we can substitute into the equation above

Q + R = 90

(2R - 9) + R = 90

3R - 9 = 90

3R = 99

R = 33

solve for Q

Q + R = 90

Q + 33 = 90

Q = 57