Question

Complementary angles are two angles that have measures with a sum of 90°. Angles P and Q are complementary and the measure of angle P is 6° more than twice the measure of angle Q.



Write a system of equations and use substitution to find the measures of angles P and Q.

Input Field 1 of 1

Answer 1

Answer:

P = 62°   Q = 28°

Step-by-step explanation:

Let x = measure of angle Q

then y = measure of angle P

Now  x + y = 90  and 2x + 6 = y

Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.

3x + 6 = 90

3x = 84

x = 28

y = 2(28) + 6 = 56 + 6 = 62

Check:  28 + 62 = 90