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Please help 20 points
Find the measure of ∠D if

∠A = 5/2x + 30
∠B = 7/2x + 40
∠C = 9/2x + 10
∠D = 5/2x + 20


Awnser Choices
A) 60°
B) 70°
C) 80°
D) 100°

Respuesta :

claudettoterohil
Four angles must add up to 360.

∠A+∠B+∠C+∠D=360 (5/2x+30)+(7/2x+40)+(9/2x+10)+(5/2x+20)=360 26/2x + 100 = 360 13x = 260 x = 20.   To solve for ∠C, plug x back in:   ∠C = 9/2x+10 = 9/2*20+10 = 100

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