Question

Help me find the measure of each missing angle

Answer 1

Answer:

m∠1 = 49°

m∠2 = 63°

m∠3 = 87°

m∠4 = 44°

Step-by-step explanation:

m∠1 = 49° (Opposite Angles)

m∠1 + m∠2 + 68° = 180° (The sum of all interior angles of any triangle is equal to 180°)

49° + m∠2 + 68° = 180°

m∠2 + 117° = 180°

m∠2 = 180° - 117°

m∠2 = 63°

m∠3 + 93° = 180° (The angles on a straight line add up to 180°)

m∠3 = 180° - 93°

m∠3 = 87°

m∠4 + 49° = 93° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)

m∠4 = 93° - 49°

m∠4 = 44°