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Chapter 12: Q5. (page 694)

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

鈭�3and鈭�6

Short Answer

Expert verified

The angles 鈭�3 and 鈭�6 arealternate exterior angles.

Step by step solution

01

Step 1. Given Information.

The provided angles are 鈭�3 and 鈭�6.

02

Step 2. Definition of alternate exterior angles.

When two lines are crossed by another line, it is known as transversal.The angles external 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�3 and 鈭�6 are located exterior to the parallel lines and in opposite corners, 鈭�3 and 鈭�6 are alternate exterior angles.

04

Step 4. Conclusion.

The angles 鈭�3 and 鈭�6 arealternate exterior angles.

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Most popular questions from this chapter

Challenge: Use the diagram.

  1. Write expressions for m鈭�1,m鈭�2,andm鈭�3 in terms of x and y. Explain your reasoning.
  2. Use the expressions you wrote in part (a) to show that the sum of the measures of the angles in 螖ABC is 180掳.

Draw a convex polygon that has exactly 8 interior angles.

Solve the equation. Check your solution.

5x-12=38

Tell whether the angles are complementary, supplementary, or neither.

m鈭�1=63掳m鈭�2=27掳

鈭�1 and 鈭�2 aresupplementary angles, and m鈭�1=118掳. Find m鈭�2.
See all solutions

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