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4. An angle is 50° more than its supplement. Find the angles.


User Arseniy
by
8.6k points

1 Answer

13 votes

Answer:

The angles measure
65° and
115°.

Explanation:

Supplementary angles are a pair of angles whose measures add up to
180°. In this case, we know that one angle is
50° bigger than the other one, so if we let the measure of one angle be
x, then the measure of the other angle will be
x+50. Therefore, we can write the following equation to solve for


x+x+50=180

Solving for
x, we get:


x+x+50=180


2x+50=180 (Simplify LHS)


2x+50-50=180-50 (Subtract
50 from both sides of the equation to isolate
x)


2x=130 (Simplify)


(2x)/(2)=(130)/(2) (Divide both sides of the equation by
2 to get rid of
x's coefficient)


x=65

Therefore,
x+50=65+50=115, so our final answer is that the angles measure
65° and
115°. Hope this helps!

User PoByBolek
by
8.8k points

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