Question

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

Answer 1

Step-by-step explanation:

OY=OZ=radius=r

Given YZ=r

⟹△OYZ is equilateral

⟹∠YOZ=60

∘

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=

2

∠YOZ

⟹∠YXZ=

2

60

=30

∘