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Solve for x (due tomorrow)

Solve for x (due tomorrow)-example-1
User WIllJBD
by
7.6k points

1 Answer

6 votes

Answer:

x = 9

Explanation:

the exterior angle of a triangle is equal to the sum of the two opposite interior angles.

∠ QPE is an exterior angle of the triangle , then

∠ QPE = ∠ PQR + ∠ PRQ

substitute the values for the angles into the equation and solve for x

80 = 6x - 5 + 13 + 2x ( simplify right side )

80 = 8x + 8 ( subtract 8 from both sides )

80 - 8 = 8x + 8 - 8 ( simplify both sides )

72 = 8x ( divide both sides by 8 )


(72)/(8) =
(8)/(8) x , that is

9 = x

User Bittersweetryan
by
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