Question

If m$\angle$ $PRQ={45}^o$ and m$\angle$ $QPR={68}^o$. What is m$\angle$ $PQR$ in the triangle?

• A. ${67}^o$
• B. ${68}^o$
• C. ${69}^o$
• D. ${70}^o$

Answer 1

The correct option is A ${67}^o$

by angle sum property, the sum of angles is ${180}^o$.

$m\angle PRQ+m\angle QPR+m\angle PQR$ $={180}^o$
${45}^o+{68}^o+$ m $\angle$ $PQR={180}^o$
m$\angle$ $PQR={180}^o-{113}^o$
m$\angle$ $PQR={67}^o$ .