Question

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

Answer 1

83°

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°