Chapter SR21, Problem 3P

Solution

Find the value of x.

  $x={60}^o$

Given:

The given triangle.

  

Concept Used:

• The sum of the interior angles of a triangle is $={180}^o$
• All the angles of an equilateral triangle is equal.

Calculation:

The given triangle is -

  

As all the angles of the triangle is equal so it is an equilateral triangle.

The sum of the interior angles of a triangle is $={180}^o$

  $\begin{array}{c}{x}^o+x^o+x^o={180}^o\\ x+x+x=180\\ 3x=180\\ x=\frac{180}{3}\\ x=60\end{array}$

  $x={60}^o$