Oak Street and Elm Street run parallel to each other. When Main Street intersects them, it forms interior 4, measuring 35°. What is the measure of
6?

A. 145°

Step-by-step explanation:

<4 = 35° (given)

m<6 + m<4 = 180° (same side interior angles are supplementary)

Thus:

m<6 + 35° = 180° (substitution)

m<6 + 35° - 35° = 180° - 35° (subtraction property of equality)

m<6 = 145°

(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