In each figure below, find m∠1 and m∠2 if a||b. Show your work with statements.

m < 1 = 80

m < 2 = 70

Step-by-step explanation:

As we can see in the figure that

Plus line s and t are considered to be transversals

That results into

m < 1 and 80

i.e alternate angles

And as we know that alternative angles are equal to each other

So,

m < 1 = 80

Moreover,

m < 2 = 70

As corresponding angles are equal to each other

Therefore the m < 1 = 80 m < 2 = 70 could be computed easily by applying the above things

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