Question

Find the measure of the missing angle (#4 btw)

Answer 1

Explanation:

1)

∠1 = ∠2 {Angles opposite to equal angles are equal}

∠1 = ∠2 = x

x +x + 55 = 180 {angle sum property of triangle}

2x + 55 = 180

2x = 180 - 55

2x = 125

x = 125/2

x = 62.5

∠1 = 62.5

2) ∠2 = 62.5

3) ∠3 = 55 {Vertically opposite angles are congruent}

4) ∠4 + 105 = 180 {linear pair}

∠4 = 180 - 105

∠4 = 75

5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}

55 + 75 +∠5 = 180

130 + ∠5 = 180

∠5 = 180 - 130

∠5 = 50