Question

Find the measure of
Angle 1:
Angle 2:
Angle 3:

Answer 1

Angle 1 : 65°

Angle 2 : 115°

Angle 3 : 25°

Answer 2

∠1 = 65

∠2 = 115

∠3 = 25

Explanation:

Sum of angles in a triangle is 180.

40 + 75 + ∠1 = 180

115 + ∠1 = 180

∠1 = 180 - 115

∠1 = 65

∠1 and ∠2 are linear pair angles,

Sum of linear pair angles is 180

∠1 + ∠2 = 180

65 + ∠2 = 180

∠2 = 180 - 65

∠2 = 115

∠3 + ∠2 + 40 = 180

∠3 + ∠115 + 40 = 180

∠3 + 155 = 180

∠3 = 180 - 155

∠3 = 25