Question

1. point y is in the interior of ∠wxz. if m∠wxy=3x and m∠yxz=5x-4, and m∠wxz=124°, find the value of x. a) x=18 b) x=16 c) x=12 d) x=10

Explanation:

Step1: Apply Angle Addition Postulate

Since \( Y \) is in the interior of \( \angle WXZ \), we have \( m\angle WXY + m\angle YXZ = m\angle WXZ \). Substituting the given angle measures: \( 3x + (5x - 4) = 124 \).

Step2: Simplify and Solve for \( x \)

Combine like terms: \( 8x - 4 = 124 \). Add 4 to both sides: \( 8x = 128 \). Divide by 8: \( x = 16 \).

Answer:

B) \( x = 16 \)