Question

In the figure given l || m , then find the value of X.

Answer 1

42

Explanation:

The solution is in the image below.

98+82 = 180

Answer 2

42

Explanation:

Line m and l are parallel so C and where that intersection is on the inside have the parallel lines, the angle there is an same side interior angle with C. Those add up to 180 degrees. So 180-82 is 98. Use vertical angle to find the angle in the triangle (not x yet; the other one). Vertical angles are congruent so that one is 98.

Now angles in a triangle add up to 180 degrees.

So we have 40+98=138.

The difference between 180 and 138 is 180-138=42 (that is x)