Question

find the value of 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 \(98^{\circ}\), \(51^{\circ}\), and \(x^{\circ}\), we have the equation \(98 + 51+x=180\).

Step2: Simplify the left - hand side of the equation

First, add \(98\) and \(51\): \(98 + 51=149\). The equation becomes \(149+x = 180\).

Step3: Solve for \(x\)

Subtract \(149\) from both sides of the equation: \(x=180 - 149\).

Answer:

\(x = 31\)