Respuesta :

Answer:

m∠1 = 63

m∠2 = 49

m∠3 = 87

m∠4 = 44

Step-by-step explanation:

Angle 2 and 49 are similar

Angle 2 = 49

Angle 1 + 49 + 68 = 180

180 - 49 - 68 = Angle 1

180 - 49 - 68 = 63

Angle 1 = 63

Angle 3 + 93 = 180

180 - 93 = Angle 3

180 - 93 = 87

Angle 3 = 87

Angle 4 + 49 + 87 = 180

180 - 49 - 87 = Angle 4

180 - 49 - 87 = 44

Angle 4 = 44

Step-by-step explanation:

A straight angle measures 180°.

m∠3 = 180 - 93

m∠3 = 87

The sum of the three angles of any triangle is equal to 180°.

m∠4 = 180 - (49 + 87)

m∠4 = 180 - 136 = 44

The vertically opposite angle.

so m∠2 = 49

The sum of the three angles of any triangle is equal to 180°.

m∠1 = 180 - (68 + 49)

m∠1 = 180 - 117 = 63

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