Question

∠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

Answer 1

m∠B=144°

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

`(10x+24)\°=(6x+72)\°`

`10x-6x=72-24`

`4x=48`

`x=12`

Find the measure of m∠B

m∠B=(6x+72)°

substitute the value of x

m∠B=(6(12)+72)°=144°