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Ratling [72]
2 years ago
13

Find the measures of the missing angles

Mathematics
2 answers:
Oliga [24]2 years ago
4 0

Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

∠2 = 88° - 64° = 24°

astra-53 [7]2 years ago
3 0

Answer:

1. 92°

2. 24°

3. 64°

4. 35°

5. 81°

Step-by-step explanation:

<u>1.</u>

180 - 88 = 92°

<u>5.</u>

81° and ∠5 are alternate angles because there are two parallel lines. This means that ∠5 would be 88° as well (alternate angles are equal)

<u>4. </u>

Sum of angles in a triangle = 180°

∠4 + 88 + 64 = 180

∠4 = 35°

<u>3. </u>

Linear pair = 180°

∠3 + 81 + 35 = 180

∠3 = 180 - 81 - 35

∠3 = 64°

<u>2. </u>

Sum of angles in a triangle = 180°

∠2 + 92 + 64 = 180°

∠2 = 24°

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