isi-entrance 2016 Q39

isi-entrance · India · UGB 4 marks Circles Chord Length and Chord Properties
Consider a circle with centre $O$. Two chords $A B$ and $C D$ extended intersect at a point $P$ outside the circle. If $\angle A O C = 43 ^ { \circ }$ and $\angle B P D = 18 ^ { \circ }$, then the value of $\angle B O D$ is
(A) $36 ^ { \circ }$
(B) $29 ^ { \circ }$
(C) $7 ^ { \circ }$
(D) $25 ^ { \circ }$
Consider a circle with centre $O$. Two chords $A B$ and $C D$ extended intersect at a point $P$ outside the circle. If $\angle A O C = 43 ^ { \circ }$ and $\angle B P D = 18 ^ { \circ }$, then the value of $\angle B O D$ is\\
(A) $36 ^ { \circ }$\\
(B) $29 ^ { \circ }$\\
(C) $7 ^ { \circ }$\\
(D) $25 ^ { \circ }$