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

Answer:

Step-by-step 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 $65^\circ$