Question

question the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2

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 $(2x + 16)+48 + 90=180$.

Step2: Simplify the left - hand side of the equation

First, combine like terms: $2x+(16 + 48+90)=2x + 154$. So the equation becomes $2x+154 = 180$.

Step3: Isolate the variable term

Subtract 154 from both sides of the equation: $2x=180 - 154$. So, $2x = 26$.

Step4: Solve for x

Divide both sides of the equation by 2: $x=\frac{26}{2}=13$.

Answer:

$x = 13$