Find the measure of ∠C if ∠A = 3 2 x + 20 ∠B = 7 2 x + 20 ∠C = 5 2 x + 40 ∠D = 3 2 x + 10 A) 65° B) 76° C) 95° D) 115°

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asked Jul 9, 2019 58.5k views

2 Answers

Shakeeb Ahmed · Answer 1 · 2019-07-15T15:50:05+0000

The sum of the angles of a quadrilateral is 360°.

$\left((3)/(2)x+20\right)+\left((7)/(2)x+20\right)+\left((5)/(2)x+40\right)+\left((3)/(2)x+10\right)=360\\\\9x+90=360\\\\x=(270)/(9)=30$

Given that x=30, the measure of ∠C is
∠C = (5/2)×30 +40 = 115

The appropriate choice is ...
D) 115°

Find the measure of ∠C if ∠A = 3 2 x + 20 ∠B = 7 2 x + 20 ∠C = 5 2 x + 40 ∠D = 3 2 x + 10 A) 65° B) 76° C) 95° D) 115°

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