Question

An angle measures 44° more than the measure of a supplementary angle. what is the measure of each angle?

Answer 1

 the measure of each angle is 68*

Answer 2

The correct answers are:

68° and 112°.

Explanation:

Let x be the measure of the smaller angle.

The larger angle would then be x+44.

Since the angles are supplementary, their sum measures 180°. This gives us the equation:

x+(x+44) = 180

Combining like terms, we have

2x+44 = 180

Subtract 44 from each side:

2x+44-44 = 180-44

2x = 136

Divide each side by 2:

2x/2 = 136/2

x = 68

The smaller angle measures 68°.

The larger angle is 44° more:

68+44 = 112°