Question

the diagram shows a triangle. what is the value of x?

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, \(53^{\circ}+49^{\circ}+3x = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add 53 and 49: \(53 + 49=102\), so the equation becomes \(102 + 3x=180\).

Step3: Solve for \(x\)

Subtract 102 from both sides: \(3x=180 - 102\), so \(3x = 78\). Then divide both sides by 3: \(x=\frac{78}{3}=26\).

Answer:

\(26\)