Question

the measures of the angles of a triangle are shown in the figure below. solve for x. (9x - 1)° 62° 74° answer attempt 1 out of 2 x = submit answer

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((9x - 1)+62 + 74=180\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \((9x-1)+136 = 180\), which simplifies to \(9x+135 = 180\).

Step3: Solve for \(x\)

Subtract \(135\) from both sides: \(9x=180 - 135\), so \(9x = 45\). Then divide both sides by \(9\): \(x=\frac{45}{9}\).

Answer:

\(x = 5\)