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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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Mathematics
3 years
2021-08-19T08:44:36+00:00
2021-08-19T08:44:36+00:00 1 Answers
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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°