Exercise b: in this figure m 3=110 m 10=95 find the measure of each angle

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Here we will use our knowledge of parallel lines....

→ Angles opposite the vertices are equal, so

1 = 6

2 = 5

3 = 8

4 = 7

9 = 14

10 = 13

11 = 16

12 = 15

→ Corresponding angles are equal, so

1 = 9

2 = 10

3 = 11

4 = 12

Given the information above we can write:

1 = 6 = 9 = 14

2 = 5 = 10 = 13

3 = 8 = 11 = 16

4 = 7 = 12 = 15

from the statement of the question it is said that: 3 = 110° and 10 = 95°, so

2 = 5 = 10 = 13 = 95°

3 = 8 = 11 = 16 = 110°

→ from internal/external collateral angles OR supplementary angles:

1 + 2 = 180°

1 + 95° = 180°

1 = 180° - 95°

1 = 85°

3 + 4 = 180°

110° + 4 = 180°

4 = 180° - 110°

4 = 70°

Now we can say that: