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Q33.

Expert-verified
Found in: Page 696

### Pre-algebra

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.

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

See the step by step solution

## Step 1. Given Information.

The figure is shown below.

## Step 2. Concept Used.

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

## Step 3. Explanation.

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