Question

in $\triangle mno$, $mangle m=(2x + 10)^{circ}$, $mangle n=(9x + 10)^{circ}$, and $mangle o=(x + 16)^{circ}$. what is the value of $x$?

Explanation:

Step1: Sum of angles in triangle

The sum of angles in a triangle is 180°, so $(2x + 10)+(9x + 10)+(x + 16)=180$.

Step2: Combine like - terms

$2x+9x+x+10 + 10+16 = 180$, which simplifies to $12x+36 = 180$.

Step3: Isolate x

$12x=180 - 36$, so $12x = 144$, and $x=\frac{144}{12}=12$.

Answer:

12