Solve for x and then find the measure of angle b

A and B are the alternate angles. Alternate angles are congruent.

m∠A = m∠B, therefore we have the equation:

5x - 15 = 2x + 21      |+15

5x = 2x + 36      |-2x

3x = 36     |:3

x = 12

m∠B = 2x + 21 → m∠B = 2(12) + 21 = 24 + 21 = 45

Step-by-step explanation:

A = B ( exterior altermate)

5x - 15 = 2x + 21

3x = 36

x = 12

B = 24 + 21 = 45⁰

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18