Question

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

Explanation:

Step1: Use the triangle - angle sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(45^{\circ}+73^{\circ}+2x = 180^{\circ}\).

Step2: Simplify the left - hand side of the equation

First, add \(45\) and \(73\): \(45 + 73=118\). The equation becomes \(118+2x = 180\).

Step3: Solve for \(x\)

Subtract \(118\) from both sides: \(2x=180 - 118\). Then \(2x = 62\). Divide both sides by \(2\): \(x=\frac{62}{2}\).

Answer:

\(31\)