Answer:
mZWX = 214°
Step-by-step explanation:
In a circle C, XR and WZ are two diameters.
∠ XCW = 34° and ∠ YCZ = 86°
We have to find the measure of arc ZWX
Since ∠XCW + ∠XCY + ∠YCZ = 180° [ angles on a straight line ]
34° + ∠XCY + 86° = 180°
120° + ∠XCY = 180°
∠XCY = 180 - 120 = 60°
Now arc ZWX = 360° - (∠XCY + ∠ YCZ)
= 360° - (60° + 86°)
= 360° - 146°
= 214°
Therefore answer is arc ZWX = 214°
