Examine △ABC shown below.

What is the measure of angle B?

b = 57.6

Step-by-step explanation:

23 +3x +13 +2x=180

add the x's

5x

add the others

23+13=36

subtract 36 on both sides

36-36=0

180-36= 144

now get your 5x and divide by 5 on both sides

5/5 cancels out

144/5= 28.8

x= 28.8

now to find b

2·28.8= 57.6

to find 3x do the same

3 · 28.8 = 86.4

now double-check your answer by adding them all up and seeing if it = 180

57.6+86.4+36=180