Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 3 x =

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(74+(8x - 19)+45=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \((74 + 45-19)+8x=180\).
\(100+8x=180\).

Step3: Solve for \(x\)

Subtract \(100\) from both sides: \(8x=180 - 100\).
\(8x=80\).
Divide both sides by \(8\): \(x=\frac{80}{8}\).

Answer:

\(x = 10\)