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, \((4x + 4)+65 + 79=180\).

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: \(4x+(4 + 65+79)=180\), which gives \(4x + 148=180\).

Step3: Solve for \(x\)

Subtract \(148\) from both sides: \(4x=180 - 148\), so \(4x = 32\). Then divide both sides by \(4\): \(x=\frac{32}{4}\).

Answer:

\(x = 8\)