In the given diagram the value of x is equal to

Explanation

65° is correct. It satisfies the angle relationships in the diagram.The two slanted lines meet above the horizontal line, forming a triangle whose top angle is x. The angle labelled 125∘ at the left is outside that triangle, so the triangle's left base angle is its supplement:left base angle=180∘−125∘=55∘right base angle=60∘ Sum of triangle angles = 180∘ sotop angle of the triangle =180∘−(55∘+60∘)=180∘−115∘=65∘Now, angle x and the top angle of the triangle are vertically opposite angles therefore they are equal.x = 65∘Options 35°, 45°, and 75° are incorrect because they do not adhere to the angle sum properties of the shape as indicated in the diagram.