Question

Two angles of a quadrilateral are ${89}^o$ and ${113}^o$. If the other two angles are equal; find the equal angles.

Answer 1

Let the other angle $=x^o$

According to given,

${89}^o+{113}^o+x^o+x^o={360}^{o}2x^o={360}^o-{202}^{o}2x^o={158}^o{x}^o=\frac{158}{2}={79}^o$

$\therefore$ other two angles $={79}^o$ each