Question

1. diagram: point y with rays yx, yw, yz. angle between yw and yz is 27°, between yx and yw is (3x)°, ( mangle xyz = 60^circ ). dropdowns: type of angles (selected: adjacent), key information, equation.

Explanation:

Step1: Analyze angle addition

The measure of ∠XYZ is the sum of ∠XYW and ∠WYZ. So, \( 3x + 27 = 60 \).

Step2: Solve for x

Subtract 27 from both sides: \( 3x = 60 - 27 = 33 \). Then divide by 3: \( x = \frac{33}{3} = 11 \).

Answer:

\( x = 11 \)