Question

A rhombus $PQRS$ has $m\angle PQR={150}^{\circ }.$ Choose the correct way to represent it in a triangular grid paper.

• A.
• B.
• C.

Answer 1

The correct option is B

Each triangle in a triangular grid paper is a equilateral triangle with all three internal angles are ${60}^{\circ }.$

$\therefore$ The angle represented in the image below is equal to ${60}^{\circ }+{60}^{\circ }={120}^{\circ }.$

Given that $m\angle PQR={150}^{\circ },$ which is greater than ${120}^{\circ }.$

Hence,is the correct option, as $m\angle PQR={120}^{\circ }+{30}^{\circ }={150}^{\circ }$