Question

If three angles of a quadrilateral are ${94}^{\circ }$,${110}^{\circ }$ and ${103}^{\circ }$, then the fourth angle will be __________.

• A. ${103}^{\circ }$
• B. ${53}^{\circ }$
• C. ${23}^{\circ }$
• D. ${63}^{\circ }$

Answer 1

The correct option is B ${53}^{\circ }$

Let the fourth angle of the quadrilateral be $x$.
We know that, sum of the angles of a quadrilateral = ${360}^{\circ }$
$\Rightarrow$${94}^{\circ }+{110}^{\circ }+{103}^{\circ }+x={360}^{\circ }$
$\Rightarrow$${307}^{\circ }+x={360}^{\circ }$
$\Rightarrow$ $x={53}^{\circ }$