Question

diagonals of a quadrilateral pqrs interasect in poont m .if 2pm=mr,2mq=sm then prove that RSS =2pq​

Answer 1

ans

show the digram also dear..

Answer 2

Answer:

Chords PS subtends.

Chords PS subtends.∠PQS and ∠PRS in the same segment.

Chords PS subtends.∠PQS and ∠PRS in the same segment.∠PQS=∠PRS

Chords PS subtends.∠PQS and ∠PRS in the same segment.∠PQS=∠PRS∠PQS=80° [L subtended by same chord / arc in same segment in equal]

Chords PS subtends.∠PQS and ∠PRS in the same segment.∠PQS=∠PRS∠PQS=80° [L subtended by same chord / arc in same segment in equal]∠PQR=80+50=130∠PQR+∠PSR=180(sum of opposite angle of cyclic quadrilaterals is 180°)

Chords PS subtends.∠PQS and ∠PRS in the same segment.∠PQS=∠PRS∠PQS=80° [L subtended by same chord / arc in same segment in equal]∠PQR=80+50=130∠PQR+∠PSR=180(sum of opposite angle of cyclic quadrilaterals is 180°)130+∠PSR=180∠PSR=50°

Chords PS subtends.∠PQS and ∠PRS in the same segment.∠PQS=∠PRS∠PQS=80° [L subtended by same chord / arc in same segment in equal]∠PQR=80+50=130∠PQR+∠PSR=180(sum of opposite angle of cyclic quadrilaterals is 180°)130+∠PSR=180∠PSR=50° And as we know ∠PQS=50∴∠PRS=360−(∠PQS+∠PSR)=360−100=260

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