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

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4. An angle is 50° more than its supplement. Find the angles.
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MichaelMet 4 years 2021-08-23T02:31:40+00:00 1 Answers 15 views 0

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  1. thaiduong
    0
    2021-08-23T02:32:42+00:00
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    Answer:

    The angles measure 65° and 115°.

    Step-by-step 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)

    \frac{2x}{2}=\frac{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!

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