The sketch shows two parallel lines cut by a transversal. angle 2 is 36°. what is the measure of angle 8?

∠8 = 144°

∠6 = ∠2 = 36° ( corresponding angles are congruent )

∠8 + ∠6 = 180° ( sum of angles in a straight angle )

∠8 = 180° - 36° = 144°

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb