Question

13. In the given figure, AB is the diameter of the circle.
Find the value of angle ACD.
(1) 30°
(2) 60°
(3) 45°
(4) 25°


please answer this question with some hints ....​

Answer 1

(3)45...because the angle is not a central angle so it measures only half of 90

Answer 2

Given : AB is the diameter of the circle

To Find :  value of ∠ ACD

(1) 30°

(2) 60°

(3) 45°

(4) 25°

Solution:

AB  is Diameter  and O is center

∠BOD = 90°

Hence ∠AOD = 90°  ( linear Pair)

∠ACD = (1/2) ∠AOD   ( Angle by same chord/Arc AD)

∠ACD = (1/2) 90°

=> ∠ACD =  45°

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