Question

Angles A and B are supplementary angles. The mZA = (9x - 12) and the mZB = (24x + 60).​

Answer 1

/ A = 24°

/ B = 156°

Explanation:

Supplementary angles add up to 180°.

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Therefore, / A + / B = 180

(9x - 12) + (24x + 60) = 180

9x - 12 + 24x + 60 = 180

33x + 48 = 180

33x = 180 - 48

33x = 132

x = 132/33

x = 12/3

x = 4

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/ A = (9x - 12)

= (9(4) - 12)

= (36 - 12)

= 24°

/ B = (24x + 60)

= (24(4) + 60)

= (96 + 60)

= 156°

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