Question

in figure angle Q is equal to angle R. PQ is equal to PR and QM &RN intersect at O. prove that triangle PQM is congruent to triangle PRN and PM is equal to PN

Answer 1

In triangle PQM and triangle PRN
angle Q = angle R
PM= PN
angle QPM = angle RPN
by ASA congruence criterion
triangle PQM is congruent triangle PRN
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Answer 2

Answer:-

(I) In ∆PQM & ∆PRN

ang. Q = ang. R

PM = PN

∆QPM = ∆RPN (by ASA)

Hence proved, ∆PQM = ∆PRN