Chapter SR21, Problem 4P

Solution

Find the value of x.

  $x={34}^o$

Given:

The given triangle.

  

Concept Used:

• The sum of the interior angles of a triangle is $={180}^o$
• If the measure of the angle between two rays is exactly equal to ${90}^o$ or p/2, then the angle is called a right angle.

Calculation:

The given triangle is -

  

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

  $\begin{array}{c}{56}^o+{90}^o+x^o={180}^o\\ 56+90+x=180\\ 146+x=180\\ x=180-146\\ x=34\end{array}$

  $x={34}^o$