Question

The value of $x$ in the above figure is

• A. $9^{\circ }$
• B. ${10}^{\circ }$
• C. ${11}^{\circ }$
• D. ${12}^{\circ }$

Answer 1

The correct option is C ${11}^{\circ }$

Using the "Exterior angle property" of a triangle, we get,
$\angle VWE=\angle WUV+\angle WVU$
${144}^{\circ }=(6x+1{)}^{\circ }+(7x{)}^{\circ }$
${144}^{\circ }=(13x+1{)}^{\circ }$
${143}^{\circ }=13x^{\circ }$
$x^{\circ }={\frac{143}{13}}^{\circ }$
$x^{\circ }={11}^{\circ }$