∠5 ​ and​ ​ ∠6 ​ ​are complementary angles. m∠5=13° What is the measure of ​ ∠6 ​? Show your work! (:

Mathematics · Middle School · Mon Jan 18 2021

Answered on

Given the statement:

∠5 ​ and​ ​ ∠6 ​ ​are complementary angles. m∠5=13°

Determine the measure of   ∠6.

Solution:

Since we are asked for the complement angle, this means that the sum total of the angle is equal to 90° as stated by the complementary angle theorem. Hence, to solve for  ∠6we simply subtract 90° by 13°

= 90° - 13°

 ∠6 = 77°

Final answer:

∠6 = 77°