Find the value of x

Question

asked Apr 20, 2023 55.3k views

1 Answer

Finefoot · Answer 1 · 2023-04-24T05:27:10+0000

Answer:

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)

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

$\implies 2x= 110\degree$

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

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