Question

For what value of x, l || m.​

Answer 1

Answer:

x = 270 degrees.

Step-by-step explanation:

Draw a line n parallel to both line l and m.

• angle SQR = 60 degrees, as shown in the figure, [ by linear pair, 180 - 120 = 60, and by alternate interior angles, angle SQR = 60 ]
• angle PQS = 50 [ by linear pair and alternate interior angles ]
• (x-20) , 60 , and 50 make a complete angle at point Q as shown.
• hence, x-20 + 60 + 50 = 360
• x = 270.