Question

In the given figure, if $l||m$, the value of x is

• A. ${205}^0$
• B. ${285}^0$
• C. ${75}^0$
• D. None

Answer 1

The correct option is B ${285}^0$

$\theta 1+\theta 2=x$

$k||l||m$

$⟹\theta 1+40={180}^{\circ }(sumofco-interiorangles={180}^{\circ })$

$⟹\theta 1={140}^{\circ }$

$Similarly,$

$\theta 2+{35}^{\circ }={180}^{\circ }$

$⟹\theta 2={145}^{\circ }$

$\therefore x={140}^{\circ }+{145}^{\circ }={285}^{\circ }$