Question

Determine the value of angle x and angle y

Answer 1

80

Explanation:

Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720

Since this looks like a regular hexagon each interior angle =720/6=120

Hence the inside angle touching the line is 120 (inside the hexagon)

Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,

Then y= 180-20=160

Then x=360-(160+120)=80 because sum of all angles round a point=360