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Question Number 42592 by Aston last updated on 28/Aug/18

	Answered by $@ty@m last updated on 28/Aug/18

	$L e t P S a n d Q E i n t e r s e c t s a t M .$ $I n △ P M Q a n d △ E M S,$ $∠ Q P M = ∠ S E M (a n g l e o f t h e s a m e s e g m e n t)$ $P Q = E S (g i v e n)$ $∠ P Q M = ∠ E S M (a n g l e o f t h e s a m e s e g m e n t)$ $∴ △ P M Q ≅ △ E M S, b y A S A a x i o m$ $∴ P M = E M . . . . (1)$ $& Q M = M S . . . . (2)$ $A d d i n g (1) & (2)$ $P M + M S = E M + Q M$ $P S = E Q$ $Q . E . D .$
	Commented by $@ty@m last updated on 29/Aug/18

	Commented by Vashu last updated on 29/Aug/18

	$E X P L A I N A N G L E O F S A M E S E G M E N T$ $W H A T I S T H I S ?$
	Commented by $@ty@m last updated on 29/Aug/18

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