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: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation $(2x + 15)+84 + 41=180$.

Step2: Simplify the left - hand side

Combine like terms: $2x+(15 + 84+41)=2x + 140$. So the equation becomes $2x+140 = 180$.

Step3: Isolate the variable term

Subtract 140 from both sides: $2x=180 - 140$, which simplifies to $2x = 40$.

Step4: Solve for x

Divide both sides by 2: $x=\frac{40}{2}$.

Answer:

$x = 20$