Question

find the value of x in the triangle shown below.

x = □ °

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, for a triangle with angles \(x^{\circ}\), \(45^{\circ}\), and \(98^{\circ}\), we have the equation \(x + 45+98=180\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation: \(x+(45 + 98)=x + 143\). Then, using the property of equality \(x+143 = 180\). Subtract 143 from both sides: \(x=180 - 143\).

Answer:

\(37\)