Question

Find the value of X in the figure below:

• A. 80
• B. 60
• C. 70
• D. 100

Answer 1

The correct option is A

80

We know that,

$\angle ABC+\angle CAB+\angle ACB={180}^{\circ }$ (angle sum property)

$\Rightarrow {90}^{\circ }+{50}^{\circ }+\angle ACB={180}^{\circ }$

$\Rightarrow \angle ACB={40}^{\circ }$

$\Rightarrow \angle KCL=\angle ACB={40}^{\circ }$ (vertically opposite angles)

$\Rightarrow \angle KCL+\angle CLK+\angle X={180}^{\circ }$

$\Rightarrow {40}^{\circ }+{60}^{\circ }+\angle X={180}^{\circ }$

$\Rightarrow \angle X={80}^{\circ }$