Math, asked by hnmeerapnpaoiwg, 1 year ago

the angles of quadrilateral are 2x 3x 7x 8x find x and prove that the opposite sides are parallel

Answers

Answered by NANDANI1234raj
11
as we know sum of all sides of a quadrilateral is 360 degree
so 2x+3x+7x+8x =360by solving x =18 degree
so 7x+3x =180 so as we know the sum of interior angles of the angles formed by the transversal is 180 thus the opposite sides are parallel

hnmeerapnpaoiwg: thanks but what do you mean by interior andle is a quadrilateral and there is no diagonals
NANDANI1234raj: have you studied transversal line???
hnmeerapnpaoiwg: yeah
NANDANI1234raj: the opposite side are parallel as the adjacent side is acting as transversal
NANDANI1234raj: and the sum of interior angles formed by the transversal on the same side is 180
NANDANI1234raj: have u got
hnmeerapnpaoiwg: yeah yeah i got it and once again thanks for helping me
NANDANI1234raj: wclm
NANDANI1234raj: Mark as brain list please
hnmeerapnpaoiwg: ok
Answered by namanjha391
5
sum of a quadrilateral = 360 degree
2x +3x+ 7x + 8x = 360
20x = 360
x= 18
2x = 36
3x = 54
7x = 126
8x = 144
opposite sides are ll as it is a rombus

hnmeerapnpaoiwg: how please elaborate
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