Question

Find the value of x ​

Answer 1

55°

Explanation:

`m\angle X = m\angle Z` (Opposite angles of a parallelogram)

`\implies m\angle X = 70\degree`

In
`\triangle WXY`

WX = XY (given)

`\implies m\angle XWY = m\angle XYW`

(Angles opposite to equal sides are equal)

`m\angle XWY = x` (Given)

`\implies m\angle XYW=x`

`\implies x + x + 70\degree=180\degree`

(By angle sum postulate of a triangle)

`\implies 2x =180\degree-70\degree`

`\implies 2x= 110\degree`

`\implies x= (110\degree)/(2)`

`\implies\huge{\orange {\boxed{ x=55\degree}}}`