∠a=10x+24 ∘ space, start color blued, angle, a, equals, 10, x, plus, 24, degree, end color blued \qquad \green{\angle b=6x + 72^\circ} ∠b=6x+72 ∘ space, start color green, angle, b, equals, 6, x, plus, 72, degree, end color green

m∠B=144°

Step-by-step explanation:

see the attached figure to better understand the problem

we have

Two parallel lines cut by a transversal.

so

m∠A=m∠B -----> by alternate interior angles

substitute the given values and solve for x

Find the measure of m∠B

m∠B=(6x+72)°

substitute the value of x

m∠B=(6(12)+72)°=144°

-6 is the correct option from the above given options

vhhhbnbb. ddben jenner v