Chapter 12: Q1. (page 694)
Draw two lines and a transversal intersecting both the lines. Then number the angles and identify both pairs of alternate interior angles.
Short Answer
The figure is,

The two pairs of alternate interior angles is , and .
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Chapter 12: Q1. (page 694)
Draw two lines and a transversal intersecting both the lines. Then number the angles and identify both pairs of alternate interior angles.
The figure is,

The two pairs of alternate interior angles is , and .
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A transversal intersects two parallel lines, forming alternate interior angles and , and vertical angles and . Illustrate the situation. How are and related? Explain.
In example 2, if you know only ,can you find the measures of the other numbered angles? Explain.
Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

As shown in the diagram, the two structures of the Puerta de Europa (Door of Europe) in Madrid, Spain, lean toward each other at an angle of from the vertical.

Find .

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