Question

Find the values of x and y

Answer 1

Since the two lines with red arrows are parallel, that means the two angles on the left are both 90º angles.

2x = 90

or x = 45

Now, 2x + 90 + y + (y-50) = 360, since this is a quadrilateral and we know 2x=90.

So 90 + 90 + y + y-50 = 360

or 2y + 130 = 360

or 2y = 230

or y = 115

To check, add up the angles to make sure it adds to 360:

90 + 90 + 115 + 65 = 360.

Answer 2

x=45 y=137.5

Explanation:

2x=90

x=45

One angle is 45. Another angle is 90.

The total angle sum would be 360

So

45+90+y+(y-50)=360

135+y+y-50=360

85+2y=360

2y=275

y=137.5