Question

Three angles of a quadrilateral are equal. If the fourth angle is $69$, find the measure of equal angles.

Answer 1

Finding the measure of three equal angles of quadrilateral ​
Let the equal of the quadrilateral be $x$
Now, angles of quadrilateral are,
$x,x,x$ and ${69}^{\circ }$ ($\therefore$ three angle are equal)
​By using sum property of a quadrilateral.
$\Rightarrow x+x+x+{69}^{\circ }={360}^{\circ }$
$\Rightarrow 3x+{69}^{\circ }={360}^{\circ }\Rightarrow x+{23}^{\circ }={120}^{\circ }$ [dividing by $3$]
$\therefore x={120}^{\circ }-{23}^{\circ }={97}^{\circ }$
Hence, the measure of equal angle is ${97}^{\circ }$