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An angle measures 170° less than the measure of its supplementary angle. What is the measure of each angle?

Sagot :

Given:

An angle measures 170° less than the measure of its supplementary angle.

To find:

The measure of each angle.

Solution:

Let x be the measure of supplementary angle.

Then, the measure of the angle is (x-170°).

Sum of supplementary angles is 180 degrees. So,

[tex]x+(x-170^\circ)=180^\circ[/tex]

[tex]2x-170^\circ=180^\circ[/tex]

[tex]2x=180^\circ+170^\circ[/tex]

[tex]2x=350^\circ[/tex]

Divide both sides by 2.

[tex]x=\dfrac{350^\circ}{2}[/tex]

[tex]x=175^\circ[/tex]

Now, the measure of the angle is

[tex]175^\circ-170^\circ=5^\circ[/tex]

Therefore, the measure of angle is 5° and the measure of its supplementary angle is 175°.

Answer:

175 , 5

Step-by-step explanation: