Answer:
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
