Question

p કેન્દ્રિત વર્તુળ માં ચાપ AB એ લઘૂચાપ છે R એ ગુરુચાપ પર નું A અને B સિવાય નું બિદુ છે જો ખૂણો APB =150 હોય તો ખૂણો અરબ=.
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Answer 1

Given :  AB is small  arc

∠APB = 150°  

P is center of circle

R is a point  on  larger arc AB

To Find : ∠ARB

Solution:

∠APB = 150°  

Angle by an arc on center is double of the angle formed at remaining circle

=> ∠APB = 2 ∠ARB

=>  ∠ARB =  (1/2)  ∠APB

=>  ∠ARB =  (1/2) 150°  

=> ∠ARB =75°  

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