in the figure in the figure triangle ABC is right angled at a q and R are the points on BC produced and BC respectively there is a point P such that three parallel to ab and parallel to AC find angle p
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Given : BAllQP and ACllRP and angleA=90
Step-by-step explanation:
to find : angle p
construction :PR is produced in such a way that it meets AB and name the intersecting point x
AC is produced in such a way that it meets QP and name the intersecting point y
Solution : now in quadrilateral AyPx
Ay ll Px and Ax ll Py
hence the both pair of opposite sides of quadrilateral AyPx are parallel
since AyPx is a llgm
so Angle A =Angle P (opposite angles of llgms are equal)
so angle p =90
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