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Answer:

1) m<2 = 115°

2) m<5 = 83°

3) m<8 = 45°

4) m<4 = 137°

Step-by-step explanation:

When two lines cross over each other, creating four angles, the opposite angles are equal.

So in question one, <1 is equal to <2, the angle opposite it, and so it is 115°.

Similarly, in question two, <5 = <6 = 84°.

In question three, <8 = <9 = 45°.

and in question four, <3 = <4 =137°.

Answer:

1) 115

2) 83

3) 45

4) 137

Step-by-step explanation:

Each problem is asking you to find the missing angle given its vertical angle.

Vertical angles are congruent therefore the angle given is the answer

Just in case that doesn't make sense here you go:

For #1 ∠1 and ∠2 are vertical angles

vertical angles are congruent ( equal to each other ) so if

∠1 = 115° then ∠2 = 115°

For#2 ∠5 and ∠6 are also vertical angles so they are congruent

so if ∠5 = 83° then ∠6 = 83°

For #3 ∠8 and ∠9 are vertical angles so they are congruent

so if ∠8 = 45° then ∠9 = 45°

For #4 ∠3 and ∠4 are vertical angles so they are congruent

So if ∠3 = 137° then ∠4 = 137°

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