Question

Three angles of a quadrilateral measure $55$ degree, $125$ degree, and $70$ degree. Find the fourth angle.

Answer 1

Given, three angles of the quadrilateral are ${55}^{\circ },{125}^{\circ },{70}^{\circ }$ and let the fourth angle be $x.$

We know that the sum of the angles of a quadrilateral is ${360}^{\circ }$
$\Rightarrow {55}^{\circ }+{125}^{\circ }+{70}^{\circ }+x={360}^{\circ }$

$\Rightarrow {250}^{\circ }+x={360}^{\circ }$

$\Rightarrow x={360}^{\circ }-{250}^{\circ }$

$\Rightarrow x={110}^{\circ }$
Therefore the fourth angle is ${110}^{\circ }$