Question

The opposite sides of a quadrilateral are parallel. if one of the angles of quadrilateral is 75 degree. find the other angles of the quadrilateral.

Answer 1

this is your answer......

Answer 2

if the opposite side of a quadrilateral is parallel

then their opposite angles will be equal too
(as in the case of parallelogram, rectangle,square,etc)


therefore

let angle
$a = 75 \\ b = 75 \\ c = x \\ d = x \\ \\ its \: because \: opposite \: angles \: r \: equal \: \\ \\ n \: as \: we \: know \: that \: the \: sum \: of \: all \: angles \: of \: a \: quadrilateral \: is \: 360 \: then \\ \\x +x + 75 + 75 = 360 \\ \\ 2x + 150 = 360 \\ \\ 2x = 360 - 150 \\ 2x = 210 \\ \\ x \frac{210}{2} \\ \\ x = 105$
therefore other angles are 105 105



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