Question

In the figure given below, if l is parallel to m and t is the transversal, then find the value of x .

• A. 15°
• B. 25°
• C. 35°
• D. 45°

Answer 1

The correct option is C 35°

Given l is parallel to m.
Hence, they form co-interior angles and they are supplementary.

$\Rightarrow$ (2x+43)° + (2x-3)° = 180°
$\Rightarrow$ 4x + 40° = 180°
$\Rightarrow$ 4x = 140°
$\Rightarrow$ x = 35°

Hence the value of x is 35°.