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31 August, 00:23

The measures of two supplementary angles are (2x + 10) ° and (8x + 10) °.

What is the measure of the larger angle?

A.

16°

B.

44°

C.

14°

D.

138°

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Answers (2)
  1. 31 August, 00:38
    0
    D

    Step-by-step explanation:

    Supplementary angles sum to 180°, hence

    2x + 10 + 8x + 10 = 180

    10x + 20 = 180 (subtract 20 from both sides)

    10x = 160 (divide both sides by 10)

    x = 16

    larger angle = 8x + 10 = (8 * 16) + 10 = 128 + 10 = 138°
  2. 31 August, 00:50
    0
    (2x + 10) ° PLUS (8x + 10) ° = 180

    10x + 20° = 180

    10x = 160

    x = 16

    The larger angle is (8x + 10) °

    When we substitute x = 16 we get:

    138°

    Answer is D
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