MathHotdog
MathHotdog MathHotdog
  • 17-05-2021
  • Mathematics
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PLEASE SOLVE. FIRST ANSWER WITH EXPLANATION GETS MOST BRAINLIEST AND 10 POINTS. THANKS ;)

PLEASE SOLVE FIRST ANSWER WITH EXPLANATION GETS MOST BRAINLIEST AND 10 POINTS THANKS class=

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ColinG
ColinG ColinG
  • 17-05-2021
Total angle sum will always equal 360 degrees. Due to vertical angles theorem, we know the angles opposite the polynomials also equal the polynomials. So, we can double both of them (like solving for perimeter) and sum them to 360.

Thus, 360 = 2(2x + 10) + 2(x+ 5)

360 = 2(2x + 10 + x + 5)
360 = 2(3x + 15)
180 = 3x + 15
165 = 3x
x = 55
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