Or question pls do
In the following fig.....
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so here is your answer....
join OC, OD and BD
∆ODC is an equilateral
therefore, angle COD=60°
Now, angle CBD=1/2angle COD (angle subtended by an arc at center is twice angle subtended by it at remaining part of circle)
so, angle CBD=30°
again, angle ACB=90°(angle on semicircle)
so, angle BCE=180°-angle ACB
=90°
in∆CBE
angle BCE+angle CHE+angle CAN=180°
angle CEB=180°-90°+30°
angle AE=60°... ans.
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