Question

12. Angle XYZ is inscribed in arc 1 point
XYZ of a circle with center O.
Find m(arc XYZ)
O 65
0 130
O
295
O
230​

Answer 1

Answer:

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Step-by-step explanation:

OY=OZ=radius=r

Given YZ=r

⟹△OYZ is equilateral

⟹∠YOZ=60°

WKT Angle made by a chord on any point on the circle is half the angle made by the chord at the center

⟹∠YXZ= 2∠YOZ

⟹∠YXZ= 260

=30°