Chapter 12: Q13. (page 695)

Which angles have the same measure as $∠ 1$ in the diagram?

Short Answer

Expert verified

The angles that have the same measure as $∠ 1$ are $∠ 4, ∠ 5, and ∠ 8$ .

Step by step solution

Step 1. Given Information.

The provided figure is

Step 2. Concepts used.

Transversal and parallel lines

When two lines are crossed by another line, it is known as transversal. If two parallel lines are intersected by a transversal line then the corresponding angles are equal, alternate interior angles and alternate exterior angles are equal.

Step 3. Explanation.

Since vertically opposite angles are equal, $m ∠ 1 = m ∠ 4$ .

Since $∠ 1$ and $∠ 5$ are a pair of corresponding angles, $m ∠ 1 = m ∠ 5$ .

Since $∠ 1$ and $∠ 8$ are a pair of corresponding angles, $m ∠ 1 = m ∠ 8$ .

Step 4. Conclusion.

The angles that have the same measure as $∠ 1$ are $∠ 4, ∠ 5, and ∠ 8$ .

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Which angles have the same measure as $∠ 1$ in the diagram?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concepts used.

Step 3. Explanation.

Step 4. Conclusion.

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Which angles have the same measure as ∠1 in the diagram?

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Concepts used.

Step 3. Explanation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

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Applied Mathematics

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Study anywhere. Anytime. Across all devices.

Which angles have the same measure as $∠ 1$ in the diagram?