∠ZWX =64°
The central angle made by arc ZWX is 232°
It is given that
∠XCW = 52°
Observe, triangle XCW
Since XC = CW (both are radius)
so, ∠CXW = ∠CWX ( since, XC = CW)
What is the sum of all angles in a triangle?
The sum of all angles in a triangle is 180°.
In triangle XCW,
∠CXW + ∠CWX + ∠XCW =180°
∠CWX +∠CWX +52 = 180°
2∠CWX = 128°
∠CWX =64° or ∠ZWX =64°
Central angle made by arc ZWX = 180+52 = 232°
Therefore, ∠ZWX =64°
The central angle made by arc ZWX is 232°
To get more about circles visit:
https://brainly.com/question/25938845
