Respuesta :

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 :)

If ∠5 ​ and​ ​ ∠6 ​ ​are complementary angles, and m∠5=13°, then the measure of ​ ∠6 is 167°

<5 and <6 are complementary angles

m<5   =  13°

Note that complementary angles are angles whose addition give 180°

That is:

m<5   +   m<6    =  180°   (Complementary angles)

Substitute m<5 = 13° into the equation m<5   +   m<6    =  180° and solve for m<6

13   +  m<6   =   180°

Subtract 13 from both sides

13  -  13   +  m<6   =  180   -  13

m<6    =   167°

Therefore, the measure of ​ ∠6 is 167°

Learn more here: https://brainly.com/question/2817122

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