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4) a triangle with angles 50°, 70°, and 5x.

Question

4)
a triangle with angles 50°, 70°, and 5x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(50^\circ + 70^\circ + 5x = 180^\circ\).

Step2: Simplify the equation

Calculate \(50 + 70 = 120\), so \(120 + 5x = 180\). Subtract 120 from both sides: \(5x = 180 - 120 = 60\).

Step3: Solve for x

Divide both sides by 5: \(x = \frac{60}{5} = 12\).

Answer:

\(x = 12\)