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s344n2d4d5 [400]
3 years ago
6

For the figure shown on the right, find the value of the variable and the measures of the angles.

Mathematics
1 answer:
Sholpan [36]3 years ago
5 0

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 ; <em>x + x + 3x = 5x , 12 - 7 = 5</em>

5x = 175 ; Subtract 5 from 180

x = 35 ; 175/5 = 35

<h2><em>x=35</em></h2>

<em></em>

<em>P: x - 7 = 35 - 7 = 28</em>

<em></em>

<em>Q: 3 (x) + 12 = 3 (35) + 12 = 105 + 12 = 117</em>

<em></em>

<em>R: x = 35</em>

<em></em>

<h2>P= 28 degrees, Q= 117 degrees, R= 35 degrees.</h2>
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=======================
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=======================
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