Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, $(3x + 4)+75 + 50=180$.

Step2: Simplify the left - hand side of the equation

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

Step3: Isolate the variable term

Subtract 129 from both sides: $3x=180 - 129$, so $3x = 51$.

Step4: Solve for x

Divide both sides by 3: $x=\frac{51}{3}=17$.

Answer:

17