Question

∠5 ​ and​ ​ ∠6 ​ ​are complementary angles. m∠5=13° What is the measure of ​ ∠6 ​?

Answer 1

Complementary angles add up to 90 degrees. Since the measure of one angle is 13 degrees, we can find the measure of the other angle by subtracting 13 from 90.

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. In this case, if ∠5 and ∠6 are complementary angles, then the measure of ∠5 plus the measure of ∠6 is equal to 90 degrees.

Given that the measure of ∠5 is 13 degrees, we can substitute this value into the equation. So, 13 + ∠6 = 90.

To find the measure of ∠6, we can subtract 13 from both sides of the equation: ∠6 = 90 - 13 = 77 degrees.

Answer 2

a complementary angle is an angle whose measure is 90°

so since you have that the m<5 = 13° to find the m<6 you....

90° - 13° = m<6
77° = m<6

hope this helps :)