Angle XYZ is inscribed in a circle with centre O. If Angle XYZ = 35 de

1.	Angle XYZ is inscribed in a circle with centre O. If Angle XYZ = 35 degree , find the measureof the arc intercepted by Angle XYZ .
Answer» 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 ∘

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

Answer»

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=

∠YOZ

⟹∠YXZ=

=30

∘

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

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