Question

The measure of two complementary angles are (4x + 3)° and (x + 4)°. What is the measure of the larger angle?

Answer 1

69.4 degrees.

Explanation:

Complementary angles add up to 90 degrees so we have the equation:

4x + 3 + x + 4 = 90

5x + 7 = 90

5x = 83

x = 16.6

The larger angle = 4x + 3

= 4(16.6) + 3

= 69.4 degrees (answer).