Question

In the given figure, l || m and $\angle$ 1 = 120°. Find $\angle$ 6.

• A. 120°
• B. 90°
• C. 60°
• D. 30°

Answer 1

The correct option is C 60°


Givem l || m and $\angle$ 1 = 120°.

$\angle$ 1 + $\angle$ 2 = 180° (Linear Pair)
$\Rightarrow$ 120° + $\angle$ 2 = 180°
$\Rightarrow$ $\angle$ 2 = 180° - 120° = 60°

$\angle$ 2 and $\angle$ 6 are corresponding angles and hence they are equal.

So $\angle$ 6 = 60°.