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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°.
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