Question

In diagram below De is parallel to XY what is the value of X

Answer 1

the answer is 65° because 115° and another number has to add up to 180°

Answer 2

Explanation:

As per the given diagram the DE is parallel to line XY

Let the point where transversal cut line DE be A and the point where it cuts line XY be B

Now from figure

`\angle DAB=\angle EAB =115^\circ`

(As both the angles are vertically opposite angles)

As DE is parallel to XY

Therefore
`\angle EAB` and
`\angle ABY` are cointerior angles between parallel lines

As we know that sum of cointeriors angles is 180 degree

Therefore

`\angle EAB +\angle ABY =180^\circ`

`\angle EAB=115^\circ`

`115^\circ + x\circ =180^\circ`

Subtracting 115 from both sides we get

`x^\circ=180-115=65^\circ`

The value of x is
`65^\circ`