Question

93° 3x° 42° o x = 14 o x = 15 o x = 16 o x = 17

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation $3x + 42+93 = 180$.

Step2: Simplify the left - hand side of the equation

$3x+(42 + 93)=3x + 135$. So the equation becomes $3x+135 = 180$.

Step3: Solve for x

Subtract 135 from both sides: $3x=180 - 135$, which gives $3x = 45$. Then divide both sides by 3: $x=\frac{45}{3}=15$.

Answer:

$x = 15$