ZA and B are supplementary angles. If m A = (2x – 14) and m ZB = (3x – 6)", then find the measure of ZA.
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∡ZA = 66°

Step-by-step explanation:

Suplementary angles sum 180°

ZA + ZB = 180°

then:

(2x - 14)° + (3x-6)° = 180°

2x + 3x - 14 - 6 = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

then:

∡ZA = (2x - 14)

∡ZA = (2*40 - 14)

∡ZA = (80-14)

∡ZA = 66°

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