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: Apply triangle - angle sum property

The sum of interior angles of a triangle is 180°. So, $(2x + 6)+(5x + 1)+(2x-7)=180$.

Step2: Combine like - terms

$(2x+5x + 2x)+(6 + 1-7)=180$, which simplifies to $9x=180$.

Step3: Solve for x

Divide both sides of the equation $9x = 180$ by 9, we get $x=\frac{180}{9}=20$.

Answer:

$20$