Question

The difference between the measures of two complementary angles is 56 determine the measures of the two angles. The larger angle has a measure of? And the smaller angle has a measure of?

Answer 1

Larger angle= 73, smaller angle= 17

Explanation:

I wrote an equation, and x is the measure of one of the angles

90=2x-56

90+56=2x-56+56

146=2x

73=x

One of the angles is 73, so subtract 53 from 73 to find the second angle. 73+56=17

You can make sure it adds up to a complementary angle by seeing if 17+73=90