Question

find the value of ( x ) in the triangle shown below.

( x = square ^ { circ } )

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, if the angles of the triangle are \(56^{\circ}\), \(31^{\circ}\), and \(x^{\circ}\), then \(56 + 31+x=180\).

Step2: Simplify the left - hand side of the equation

First, add \(56\) and \(31\): \(56 + 31=87\). The equation becomes \(87+x = 180\).

Step3: Solve for \(x\)

Subtract \(87\) from both sides of the equation: \(x=180 - 87\).

Answer:

\(93\)