The measure of the angle is 20 degrees greater than its complement

Answer 1

Let the angle be x.

So the complement is 90-x

Since, the angle is 20° more than it's complement,

x-(90-x)=20

2x=70

X=35

Therefore it's complement is 90-35=55.

To check,

55-35=20

And 55+35°=90

Answer 2

If you let x be the measure of your angle, then the complement of that angle is 90 - x (since the two angles must add up to 90. In this case: x + (90 - x) = 90)

So let's translate:

"The measure of an angle is...." translates into x =

"....20° greater than it's complement" translates into (90° - x) + 20°

So, we have the equation:

x = (90° - x) + 20°

x = 110° - x

2x = 110°

x = 55°

Thus, the measure of the angle is 55°.

Hope this helps

Mr. K