Question

You can represent the measures of an angle and its complement as x °and (90 - x). Similarly, you can

represent the measures of an angle and its supplement as x and (180 - x )º. Use these expressions to

find the measures of the angles described.

The measure of an angle increased by 24° is equal to the measure of its complement.

The measure of the angle is

Jº and the measure of its complement is

Answer 1

1. 33°
2. 90° -J°

Explanation:

1)

If x represents the measure of the angle, its complement is 90-x. The problem statement tells us ...

x +24 = 90 -x

2x = 66 . . . . . add x-24

x = 33 . . . . . . divide by 2

The measure of the angle is 33°.

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2)

Using J for x in the given complement relation:

The measure of the complement of J° is (90 -J)°.