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4 May, 19:40

Two angles are supplementary. The measure of one angle is 36° more than twice the measure of the other angle. Find the measure of each angle. (Enter your answers as a comma-separated list. Use the degree symbol, °, after each angle measure.)

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  1. 4 May, 20:06
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    Answer: 48° and 132°

    Step-by-step explanation:

    Given : Two angles are supplementary. The measure of one angle is 36° more than twice the measure of the other angle.

    Let x° be one of the angles, then the next angle would be (2x+36) °.

    When two angles are supplementary, then they are added up to 180 degrees.

    ⇒ x° + (2x+36) ° = 180°

    ⇒ x+2x+36=180

    ⇒ 3x=180-36 [Subtract 36 from both sides ]

    ⇒ 3x=144

    ⇒ x=48 [Divide both sides by 3]

    ⇒2x+36 = 2 (48) + 36

    ⇒2x+36=132

    ∴ The angles are 48° and 132°.
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