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Sergeeva-Olga [200]
3 years ago
6

Please help, would be greatful :)

Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

1. a = 21°

2. b = 70°

3. c = 89°

Step-by-step explanation:

1. Determination of the value of a.

a = 21° (vertically opposite angles are equal)

2. Determination of the value of b.

From the question given above,

110 + b = 180 (sum of angles on a straight line)

Collect like terms

b = 180 – 110

b = 70°

3. Determination of the value of c.

a + b + c = 180 (sum of angles in a triangle)

a = 21°

b = 70°

c =?

21 + 70 + c = 180

91 + c = 180

Collect like terms

c = 180 – 91

c = 89°

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