Question

8. Find angle x if in ∆xyz, the angle bisector of angle y and angle z meet at o and subtend angle 110° (a) 30° (b) 80 ° (c) 40° (d) 65° (e) 90°​

Answer 1

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We know, the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle

Hence,In given circle,

∠POR=2∠PQR

Therefore ∠POR=2×40

o

=80

o