Question

solve for x.
(9x - 16)°
(3x + 11)°
(7x - 5)°

Explanation:

Step1: Apply angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. So, $(3x + 11)+(7x - 5)+(9x - 16)=180$.

Step2: Combine like - terms

$(3x+7x + 9x)+(11 - 5-16)=180$, which simplifies to $19x-10 = 180$.

Step3: Isolate the variable term

Add 10 to both sides of the equation: $19x-10 + 10=180 + 10$, resulting in $19x=190$.

Step4: Solve for x

Divide both sides by 19: $\frac{19x}{19}=\frac{190}{19}$, so $x = 10$.

Answer:

$x = 10$