Question

Question 54

Fill in the blanks to make the statement true.

Measures of each of the angles of an equilateral triangle is ___

Answer 1

Measures of each of the angles of an equilateral triangle is ${60}^{\circ }$ as all the angles in an equilateral triangle are equal.
Let x be the angle of equilateral triangle.
According to the angle sum property of a triangle,
$x+x+x={180}^{\circ }$ [$\because$ measure of each angle = x (say)]
$\Rightarrow 3x={180}^{\circ }\Rightarrow x=\frac{{180}^{\circ }}{3}\Rightarrow x={60}^{\circ }$