Question

the measures of the angles of a triangle are shown in the figure below. solve for x. 48° 73° (9x - 4)° answer attempt 1 out of 3 x = submit answer

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(48^\circ + 73^\circ + (9x - 4)^\circ = 180^\circ\).

Step2: Simplify the left side

First, add the constant angles: \(48 + 73 - 4 + 9x = 180\). Calculate \(48 + 73 - 4 = 117\), so \(117 + 9x = 180\).

Step3: Solve for x

Subtract 117 from both sides: \(9x = 180 - 117 = 63\). Then divide by 9: \(x = \frac{63}{9} = 7\).

Answer:

\(x = 7\)