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Chapter 12: Q6. (page 694)

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

鈭�2and鈭�7

Short Answer

Expert verified

The angles 鈭�2 and 鈭�7 arealternate interior angles.

Step by step solution

01

Step 1. Given Information.

The provided angles are 鈭�2 and 鈭�7.

02

Step 2. Definition of alternate interior angles.

When two lines are crossed by another line, it is known as transversal.The angles internal to the two parallel lines, in alternate corners of the transversal are called alternate interior angles.

03

Step 3. Explanation.

In the given figure, two parallel lines are intersected by a transversal. Since 鈭�2 and 鈭�7 are located inside the parallel lines and in opposite corners, 鈭�2 and 鈭�7 are alternate interior angles.

04

Step 4. Conclusion.

The angles 鈭�2 and 鈭�7 arealternate interior angles.

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Most popular questions from this chapter

In the diagram shown, m鈭�1=35掳and m鈭�3=110掳. What is m鈭�5?

  1. Tell how 鈭�1and 鈭�2 arerelated. Then find m鈭�2.
  2. Tell how 鈭�3and 鈭�4 arerelated. Then find m鈭�4.
  3. Use what you know about the sum of the measures of the angles of a triangle to find m鈭�5.

A transversal intersects two parallel lines, forming alternate interior angles 鈭�1 and 鈭�2, and vertical angles 鈭�1 and 鈭�3. Illustrate the situation. How are m鈭�2 and m鈭�3 related? Explain.

The diagram shows the sculpture Clothespin casting a shadow. In the diagram, 鈭�2is the angle of the sun above the horizon.

  1. At a certain time of the day, m鈭�1=148掳, and the shadow has a length of 72 feet. Use a calculator to find the height of the sculpture. Round to the nearest tenth.
  2. At a certain time of the day, m鈭�1=135掳. How is the length of the shadow related to the height of the sculpture? Explain your reasoning.

In Exercises 32 and 33, use the diagram.

Which numbered angles have the same measure as 鈭�1? Explain your reasoning.

Find the measures of the numbered angles in the diagram.

Given:m鈭�1=43掳
See all solutions

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