Answer:
m∠B = 90°
Explanation:
Note that the figure given to you is a triangle, which has 3 angles, and the total measurement of 3 angles is = 180°.
Let m∠B = x
 m∠A = 60°
 m∠C = 30°
Set the equation: 
m∠A + m∠B + m∠C = 180°
Plug in the corresponding numbers to the corresponding variables: 
60 + x + 30 = 180
Isolate the variable, x. Combine like terms: 
x + (60 + 30) = 180
x + (90) = 180
Isolate the variable, x. Subtract 90 from both sides: 
x + 90 (-90) = 180 (-90)
x = 180 - 90
x = 90
m∠B = 90°