Question

in the given figure ABCD find the value of x​

Answer 1

Answer:

angle CBA =180°-80° (Linear pair)

angle BAD= 180°-70° (Linear pair)

angle DCB=180°-70°(Linear pair)

angle CDA =180°-x (Linear pair)

In quadrilateral ABCD , By angle sum property of quadrilateral

angle CBA+angle BAD+angle DCB+angle CDA=360°

180°-80° + 180°-70° +180°-70° + 180°-x= 360°

720°- 360°= 80° + 70°+ 70° + x

360° = 220° + x

360° - 220 ° = x

140° = x

Step-by-step explanation:

You can also do it by using this property :

Sum of external angles of a quadrilateral is 360°

But I gave detailed explanation simply by angle sum property of the quadrilateral.

Hope it helps:)