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3 years ago

8. Find the measure of each numbered angle in the figure.

Mathematics

1 answer:

Nesterboy [21]3 years ago

4 0

Answer:

m∠1 = 85°, m∠2 = 85°, m∠3 = 64°, m∠4 = 31°

Step-by-step explanation:

1. Since ∠3 and the angle labeled 64° are vertical, they are congruent, therefore m∠3 = 64°

2. By the same logic, since ∠4 and the angle labeled 31° are vertical, they are also congruent, meaning m∠4 = 31°

3. ∠4, ∠1, and 64° make up 180°, thus a straight line around them, so m∠1 + 31° + 64° = 180° --> m∠1 = 85°

4. ∠1 and ∠2 are vertical, so they are congruent, meaning m∠2 = 85°

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8. Find the measure of each numbered angle in the figure.​

8. Find the measure of each numbered angle in the figure.