Complementary angles have measures (4x) ° and (5x-27) °. Find the measure of the larger angle.

A. 77

B. 54

C. 52

D. 62

So the measure of the larger angle is

4x = 4*13 = 52 degrees

Step-by-step explanation:

Complementary angles have measures (4x) degrees and (5x-27) degrees.

Complementary angles are angles that add up to give 90 degrees. They are acute angles because either of the complementary angles is less than 90 degrees.

From the question, the measures of the two complementary angles are measures (4x) degrees and (5x-27

Sum of (4x) degrees and (5x-27) is equal to 90 degrees.

Therefore

4x + 5x-27 = 90

4x + 5x = 90+27

9x = 117

x = 117/9

x = 13

So the measure of the larger angle is

4x = 4*13 = 52 degrees

the measure of the smaller angle is

5x-27 = 5*13 - 27 = 38 degrees