Question

Please answer if you are confident [Khan Academy]

Answer 1

Answer:

B = 114°

Step-by-step explanation:

As A and B are angle in a parallel line.

So, A + B = 180°

6x - 48° + 4x + 38° = 180°

10x - 10° = 180°

x - 1° = 18°

x = 19°

Hence, Angle B = 4x + 38° = 76° + 38° = 114°

Answer 2

Answer:

B= 75.6

Explanation:

Adding A and B gives 180.
Therefore,
B=180-A
B=180 - (6x-48)
B=132-6x ———(1)

Given in Question B=4x+38, ———(2)
4x+38 = 132-6x
(Group like terms on each side to find x)
4x+6x=132-38
10x = 94
x=94/10
x= 9.4
Therefore,
B = 4(9.4) + 38
=75.6 (degrees)