Me w/ this geometry question. image attached.

m∠8 would be the first option, which is 50°.

We know this because m∠4 and m∠8 are corresponding angles, meaning that they are formed by a shape that kind of looks like an F. Corresponding angles are equal, so if m∠4 is 50°, that means that m∠8 is as well.

I hope this helps!

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .