Question

In the figure QP parallel ML find x

Answer 1

Lets start by drawing additional 2 lines on the diagram.

See attachment - the two parallel lines are drawn in red

Find y1:

y1 = 15º (alternate angles since PQ is parallel to the red line)

Find y2:

y1 + y2 = 35

y2 =35 - 15

y2 = 20º

Find x1:

x1 = y2  (alternate angles since the red lines are parallel)

x1 = 20º

Find x2:

x2 = 10º  (alternate angles since ML is parallel to the red line)

Find x:

x = x1 + x2

x = 20 + 10 = 30º

Answer: x = 30

Answer 2

Solution:

Construct lines WA and BR parallel to QP & ML.

The value of 'x' comes out to be 30 degrees.

For the process, see the image above.

Thank you