অনুশীলনী 10.5
চিত্র 10.36 ত, A, B আৰু C তিনিটা বিন্দু O
কেন্দ্রবিশিষ্ট বৃত্তত অৱস্থিত যাতে ABOC = 30°
আৰু ZAOB = 60°। যদি বৃত্তটোৰ ABC চাপত
নথকা D এটা বিন্দু তেন্তে ZADC নির্ণয় কৰা।
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English Translation:
In fig 10.36, A, B and C are three points on a circle with centre O such that <BOC=30° and <AOB=60°. If D is a point on the circle other that are ABC, find the ∠ADC.
the ∠ADC = 45°
Given:
∠AOB = 60°
∠BOC= 30°
To find:
∠ADC =?
Solution:
Here,∠AOC = ∠AOB + ∠BOC
∠AOC = 90° ( angle subtended at the centre of the circle)
∠AOC = 60°+30°
Since Arc ABC makes an angle of 90° at the centre of the circle.
∠ADC= 1/2∠AOC
Since the angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining of the circle
∠ADC= 1/2(90°)
∠ADC= 45°
Hence, ∠ADC= 45°
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