Quadrilateral Best Is A Parallelogram. If M B = (\Xd7+40) And M E = (2\Xd7+20) What Is The M B?

Quadrilateral BEST is a parallelogram. If m B = (×+40) and m E = (2×+20) what is the m B?

 

Answer: 80

x + 40 + 2x + 20 = 180

They are consecutive angles

3x + 60 = 180

3x = 180 - 60

3x = 120

3x/3 = 120/3

x = 40

m B = x + 40

= 40 + 40

m B = 80