Answer:
m<B=36°
Explanation:
The sum of angles in a triangle add up to 180°.
That means the sum of m<A+m<B+m<C=180°
We're given that:
m<A=x°
m<B=(2x)°
m<C=(6x+18)°
we can substitute those values as m<A, m<B, and m<C
x+2x+6x+18=180
combine like terms
9x+18=180
subtract 18 from both sides
9x=162
divide by 9
x=18°
we found the value of x, but we're not done yet
The question asks to find m<B, which is 2x°
in that case, we can substitute our known value to find the measure of <B
m<B=2x°
m<B=2(18)°
m<B=36°