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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 measure of angle Z.

Respuesta :

unicorn3125

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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