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: Recall triangle angle sum

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

Step2: Simplify the equation

Combine like terms: \(9x - 1 + 136 = 180\) → \(9x + 135 = 180\).

Step3: Solve for x

Subtract 135: \(9x = 180 - 135\) → \(9x = 45\). Divide by 9: \(x = \frac{45}{9} = 5\).

Answer:

\(x = 5\)