Question

For the given diagram, $m\angle C=$

• A. ${40}^{\circ }$
• B. ${50}^{\circ }$
• C. ${60}^{\circ }$

Answer 1

The correct option is B ${50}^{\circ }$

For the given diagram, $m\angle A={60}^{\circ };m\angle B={70}^{\circ }$
According to the angle sum property of a triangle,
$m\angle A+m\angle B+m\angle C={180}^{\circ }$
$\Rightarrow {60}^{\circ }+{70}^{\circ }+m\angle C={180}^{\circ }$
$\Rightarrow m\angle C={180}^{\circ }-({60}^{\circ }+{70}^{\circ })$
$\Rightarrow m\angle C={180}^{\circ }-{130}^{\circ }={50}^{\circ }$
$\therefore m\angle C={50}^{\circ }$