1dancingdaisy 1dancingdaisy

29-04-2018
Mathematics

contestada

Find the measure of ∠C if

∠A = 3/2x + 20
∠B = 7/2x + 20
∠C = 5/2x + 40
∠D = 3/2x + 10
A) 65°
B) 76°
C) 95°
D) 115°

Find the measure of C if A 32x 20 B 72x 20 C 52x 40 D 32x 10 A 65 B 76 C 95 D 115 class=

Respuesta :

CastleRook CastleRook

09-05-2018

The sum of angles is 360°
Thus:
∠A+∠B+∠C+∠D=360
(3/2x+20)+(7/2x+20)+(5/2x+40)+(3/2x+10)=360
9x+90=360
9x=270
x=30
thus
∠C = 5/2x + 40=5/2×30+40=115°

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