Question

PQR is a isodceles triangle right angled triangle right angled at Q. find angle P​

Answer 1

TO FIND:

Here, PQR is an isosceles triangle and right angled at Q.

Since isosceles triangle has two sides equal therefore,PQ and RQ are equal.

Since two side are equal

therefore,they have same angle i.e. PRQ=RPQ [Since opposite angles of equal sides are equal]

From triangle PQR,by angle sum property,

PQR+PRQ+RPQ=180°

=>2PRQ=(180-90)°

=>PRQ=90/2

=45°

Therefore,PRQ=45°=RPQ.

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