Answer:
D 100°
Step-by-step explanation:
Notice that angles 3 and 4 lie in the same line, which means they are supplementary angles, and supplementary angles always add up to 180°; therefore:
∠3 + ∠4 = 180°
∠3 + 130° = 180°
∠3 = 180° - 130°
∠3 = 50°
Notice that angles 2 and 3 are vertical angles. Since vertical angle are congruent (they have the say measure), ∠2 = ∠3 = 50°
Now we can add ∠2 and ∠3
∠2 + ∠3 = 50° + 50°
∠2 + ∠3 = 100°
We can conclude that the measure of ∠2 and ∠3 is 100°.
