Kingkong47474
Kingkong47474 Kingkong47474
  • 12-10-2021
  • Mathematics
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For the figure shown on the right, find the value of the variable and the measures of the angles.

For the figure shown on the right find the value of the variable and the measures of the angles class=

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72781
72781 72781
  • 12-10-2021

The degrees on a triangle add up to 180.

(x) + (x-7) + (3x+12) = 180 ; Just shwoing what i'm doing.

x + x-7 + 3x + 12 = 180

5x + 5 = 180 ; x + x + 3x = 5x , 12 - 7 = 5

5x = 175 ; Subtract 5 from 180

x = 35 ; 175/5 = 35

x=35

P: x - 7 = 35 - 7 = 28

Q: 3 (x) + 12 = 3 (35) + 12 = 105 + 12 = 117

R: x = 35

P= 28 degrees, Q= 117 degrees, R= 35 degrees.

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