Question

find the value of x.
1.
sum of angle measures: 180°

Explanation:

Step1: Set up equation using angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation $(2x + 7)+74 + x=180$.

Step2: Combine like - terms

Combining the $x$ terms and the constant terms, we get $(2x+x)+(7 + 74)=180$, which simplifies to $3x+81 = 180$.

Step3: Isolate the variable term

Subtract 81 from both sides of the equation: $3x+81-81=180 - 81$, resulting in $3x=99$.

Step4: Solve for x

Divide both sides of the equation by 3: $\frac{3x}{3}=\frac{99}{3}$, so $x = 33$.

Answer:

$33$