Question

Angle XYZ is inscribed in a circle with centre O. If Angle XYZ = 35o , find the measure of the arc intercepted by Angle XYZ .​

Answer 1

Answer:

hope it will be helpfull to you

Step-by-step explanation:

OY=OZ=radius=r

Given YZ = r

⟹△OYZ is equilateral

⟹∠YOZ=60 degree

We know that angle made by a chord on any point on the circle is half the angle made by the chord at the center

⟹∠YXZ= ∠YOZ / 2

⟹∠YXZ= 60 / 2 = 30 degre