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Chapter 12: Q1. (page 692)

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

Use the diagram shown. Identify all pairs of the specified angles.

Complementary angles

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

m鈭�3=108掳m鈭�4=72掳

A quadrilateral has angle measures of 2x+1,鈭�x-3,鈭�100,鈭� and 3x-2掳. Find the value of x.

Draw two lines and a transversal intersecting both the lines. Then number the angles and identify both pairs of alternate interior angles.

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, m鈭�1=95掳and m鈭�3=45掳. Tell whether the statement is true or false. Explain your reasoning.

  1. 鈭�2 and 鈭�3are corresponding angles.
  2. 鈭�2 and 鈭�3 have equal measures.
  3. 鈭�2 and 鈭�3are complementary angles.
  4. The sum of the measures of 鈭�1,鈭�2and 鈭�3is 180掳.
See all solutions

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