Geometry Practice Test 1

Question : 21 of 40

Marks: +1, -0

In the figure given above, O is the centre of the circle. ∠AOD = 106°. What is ∠BCD equal to?

Solution:

∠AOD = 106°
∠AOD + ∠BOD = 180° (Linear pair)
∠BOD = 180°-106°
∠BOD = 74°
∠BCD =

1/2

∠BOD
∠BCD =

1/2 × 74°

= 37° (an angle subtended by an arc at the center of a circle is double that of the angle subtended by at any point on circle.)

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