In the following figure (not to scale), A B=C D and overlineA B and overlineC D are produced to meet at the point P. If angle B A C=70°, then find angle P.

Question

In the following figure (not to scale), A B=C D and overlineA B and overlineC D are produced to meet at the point P. If angle B A C=70°, then find angle P. (A) 30° (B) 40° (C) 45° (D) 50°

Tardigrade Admin · Accepted Answer

Exterior angle of a cyclic quadrilateral is equal to its interior opposite angle, i.e., angle B A C= angle D C A and proceed.

Q. In the following figure (not to scale), $A B = C D$ and $\overline{A B}$ and $\overline{C D}$ are produced to meet at the point $P$ . If $∠ B A C = 7 0^{\circ}$ , then find $∠ P$ .

$3 0^{\circ}$

$4 0^{\circ}$

$4 5^{\circ}$

$5 0^{\circ}$

Exterior angle of a cyclic quadrilateral is equal to its interior opposite angle, i.e., $∠ B A C = ∠ D C A$ and proceed.

Q. In the following figure (not to scale), AB=CD and AB and CD are produced to meet at the point P. If ∠BAC=70∘, then find ∠P.

30∘

40∘

45∘

50∘