Two angles are said to be complementary if they add up to 90 degrees

so that if x and y are complimentary then:

x+y=90

In our question

first angle :x

second angel :90-x

So the equation would be:

x+[90-x]/2=80.5

making common denominator

2x+90-x / 2=80.5

subtracting

x+90/2=80.5

cross multiplying

x+90=2(80.5)

multiplying

x+90=161

shifting 90 to the other side

x=161-90

x=71

so the first angle is 71

the second angle would be:

90-x

so

90-71

subtracting

19

so that if x and y are complimentary then:

x+y=90

In our question

first angle :x

second angel :90-x

So the equation would be:

x+[90-x]/2=80.5

making common denominator

2x+90-x / 2=80.5

subtracting

x+90/2=80.5

cross multiplying

x+90=2(80.5)

multiplying

x+90=161

shifting 90 to the other side

x=161-90

x=71

so the first angle is 71

the second angle would be:

90-x

so

90-71

subtracting

19