Answer: The measure of ∠XYZ = 66°.
Step-by-step explanation:
Since we have given that
∠W+∠X=∠XYZ (Sum of opposite interior angle is equal to exterior angle)
\(2x+12+2x+14=5x+16\\\\4x+26=5x+16\\\\26-16=5x-4x\\\\x=10^\circ\)
So, it becomes,
\(\angle XYZ=5x+16\\\\\angle XYZ=5\times 10+16\\\\\angle XYZ=50+16\\\\\angle XYZ=66^\circ\)
Hence, the measure of ∠XYZ = 66°.
