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  4. 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.

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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 $\angle B A C=70^{\circ}$, then find $\angle P$.Mathematics Question Image

Geometry

Solution:

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.