Question

In the given triangle PQR ,all sides are equal , the measure of each angle is __________

• A. ${30}^{\circ }$
• B. ${120}^{\circ }$
• C. ${60}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is C

${60}^{\circ }$

Given: PQ = QR = RP = RS
$△PQR$ is an equilateral triangle because all sides are equal in length.

Hence each angle of an equilateral triangle will be equal

Consider the measure of angle be $x$

Then $x+x+x=180°$

$3x=180°$

$x=\frac{180°}{3}$

$x=60°$

Hence measure of each angle of an equilateral triangle = 60°