∠LXN is bisected by XM↔. If m∠MXN = 41.5°, what is the measure of ∠LXN ?

83°

Step-by-step explanation:

As the line XM bisects the angle ∠LXN, we will have two equal angles generated: ∠LXM and ∠MXN.

So, if the angle ∠MXN = 41.5°, the angle ∠LXM is also 41.5°.

These two angles have the line XM in common, and the angle ∠LXN will be the sum of them.

So the measure of ∠LXN is:

∠LXN = ∠LXM + ∠MXN = 41.5 + 41.5 = 83°

r(0,90)(x,y) . t(-5,0)

last option

step-by-step explanation:

∆def to ∆d"e"f"

- rotate 90 counterclockwise degrees

- then translated 5 to the left (x --> x - 5)

answer is the last option