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CBSE Class 10 Answered

In the adjoining figure, AB is the Diameter of the circle. E is not the centre. Angle ACD = 30°. Find angle x.

Asked by bhilarevishwesh | 21 May, 2021, 08:27: AM
Expert Answer
As AB is the diameter of the circle and we know that the angle made in a semicircle is right angle, we have

angle ADB equals 90 degree
AD space is space the space arc space and space it space makes space angles space ABD space and space ACD
Using space the space property space " Angles space subtended space by space arc space in space the space same space segment space are space equal "
rightwards double arrow angle ABD equals angle ACD
rightwards double arrow angle ABD equals 30 degree
In space triangle ABD comma
angle ABD plus angle DAB plus angle ADB equals 180 degree
rightwards double arrow 30 degree plus straight x plus 90 degree equals 180 degree
rightwards double arrow straight x equals 60 degree
Answered by Renu Varma | 21 May, 2021, 11:20: AM
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