Math, asked by Bareeq1, 1 year ago

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.

Answers

Answered by pragya82
0
this is your answer......
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Answered by Rishab143
1
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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