An angle measures 126° more than the measure of its supplementary angle. What is the measure of each angle?

Solution:

We know that:

This means that:

Step-by step calculations:

Combine like terms and simplify:

Subtract 126 both sides:

Divide 2 both sides:

This means that one angle is 27°. Let's find the other angle.

Finding the other angle:

Thus, the measure of the angles are 27° and 153°.

27° and 153°

Step-by-step explanation:

Let "x" represent the angle.

We know that supplementary angles must add up to 180 degrees.

First, let's set up an expression for the supplement of the angle "x":

x+126

Now, let's use this information to set up an equation:

Combine like terms:

Subtract 126 from both sides:

Divide both sides by 2

The supplement would be:

Therefore the measures of the two angles are:

27° and 153°

2x^2+5x+17

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