Answer:
m∠1 = 63°
m∠2 = 49°
m∠3 = 87°
m∠4 = 44°
Explanation:
Angle 2 is 49° because it is part of a pair of verticle angles, meaning it is directly opposite from the angle that is 49°. Verticle angles have the same measurement.
Angle 1 is 63°. You know that because the three angles of a triangle always add up to 180°, and you already know that the other two angles are 49° and 68°.
180 - 49 - 68 = 63
Angle 3 is 87°. It is part of a linear pair with 93°, meaning they intersect at the same point. Linear pairs add up to 180°.
180 - 93 = 87
Angle 4 is 44° for the same reason as angle 2.
180 - 49 - 87 = 44