Find the value of y. Then find the value of ∠WXZ.
Find the value of y. Then find the value of ∠WXZ.
y = To find the value of y, set the two expressions for the angles equal because they are vertical angles: 5y = 2y + 78. Solve for y: 5y - 2y = 78, 3y = 78, y = 26.
∠WXZ = Substitute y = 26 into either expression to find the angle: 5y = 5(26) = 130 degrees. Therefore, ∠WXZ = 130°.
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