Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
answer attempt 1 out of 2
x =

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((3x - 9)+60 + 90=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \(3x-9 + 150=180\), which simplifies to \(3x+141 = 180\).

Step3: Solve for \(x\)

Subtract \(141\) from both sides: \(3x=180 - 141\), so \(3x = 39\). Then divide both sides by \(3\): \(x=\frac{39}{3}\).

Answer:

\(x = 13\)