Question

the diagram shows a triangle. triangle diagram with angles 39°, 50°, and 7x what is the value of x? x = \boxed{°}

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(39^\circ + 50^\circ + 7x = 180^\circ\).

Step2: Calculate sum of known angles

Add \(39^\circ\) and \(50^\circ\): \(39 + 50 = 89\). So, \(89 + 7x = 180\).

Step3: Solve for \(7x\)

Subtract \(89\) from both sides: \(7x = 180 - 89 = 91\).

Step4: Solve for \(x\)

Divide both sides by \(7\): \(x = \frac{91}{7} = 13\).

Answer:

\(x = 13\)