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Q33.

Expert-verifiedFound in: Page 696

Book edition
Common Core Edition

Author(s)
Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages
183 pages

ISBN
9780547587776

**In Exercises 32 and 33, use the diagram.**

**Which numbered angles have the same measure as $\angle 1$? Explain your reasoning.**

$m\angle 1=m\angle 3=m\angle 4=m\angle 7$

The figure is shown below.

**In the parallel line and its transversal corresponding angles are equal, vertically opposite angles are equal and also alternate exterior angles are equal.**

In the diagram,

$m\angle 1=m\angle 3$ (Vertically opposite angles)

$m\angle 1=m\angle 4$ (Corresponding angles)

$m\angle 1=m\angle 7$ (Alternate exterior angles)

Thus, $m\angle 1=m\angle 3=m\angle 4=m\angle 7$.

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