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Question Number 42352 by Raj Singh last updated on 24/Aug/18

	Answered by tanmay.chaudhury50@gmail.com last updated on 24/Aug/18

	$∠ A O C = ∠ B O D = 2 x (v e r t i c a l l y o p p o s i t e a n g l e v o a)$ $∠ A O B = ∠ C O D = 2 y (v o a)$ $2 x + 2 y + 2 x + 2 y = 360^{o}$ $x + y + x + y = 180^{o}$ $x = \frac{1}{2} ∠ A O C x = \frac{1}{2} ∠ B O D$ $2 y = ∠ A O B$ $s o x + 2 y + x = 180^{o}$ $\frac{1}{2} ∠ A O C + ∠ A O B + \frac{1}{2} ∠ B O D = 180^{o}$ $∠ P O A + ∠ A O B + ∠ B O Q = 180^{o}$ $s o O P a n d O Q o n t h e s a m e l i n e . . . s i n c e$ $∠ P O Q i s = 180^{o}$
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