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, \(50+(3x + 4)+75=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((50 + 75+4)+3x=180\), which gives \(129+3x = 180\).

Step3: Solve for \(x\)

Subtract \(129\) from both sides: \(3x=180 - 129\), so \(3x=51\). Then divide both sides by \(3\): \(x=\frac{51}{3}=17\).

Answer:

\(x = 17\)