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

69.4 degrees.

Step-by-step 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).