The measure of angle Z is twelve less than five times the measure of angle Y. If angle Y and angle Z form a linear pair, find the meas

Question

The measure of angle Z is twelve less than five times the measure of angle Y. If angle Y and angle Z form a linear
pair, find the measure of angle Z.

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Hồng Cúc 3 years 2021-08-19T08:44:36+00:00 1 Answers 17 views 0

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  1. thuthuy
    0
    2021-08-19T08:45:42+00:00
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    Answer:

               Z = 148°

    Step-by-step explanation:

    Y      – the measure of angle Y

    5Y    – five times the measure of angle Y

    5Y-12     – twelve less than five times the measure of angle Y  

    Z = (5Y – 12)°

    Y and Z being linear pair of angles means they create a straight angle so they add to 180°

    Y + Z = 180

    Y + 5Y – 12 = 180

     6Y = 192

       Y = 32

    Z = (5•32 – 12)° = (160 – 12)° = 148°

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