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Q19.

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Pre-algebra
Found in: Page 689
Pre-algebra

Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

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Short Answer

Find m1.

The measure of the angle is 65°.

See the step by step solution

Step by Step Solution

Step 1. Given Information.

The figure is shown below.

Step 2. Concept used.

If two angles formed at the intersection point of two lines are opposite to each other, then the measures of the angles, called as vertical angles, are equal.

Step 3. Calculation.

1 has the same measure as its opposite angle. Since the angle opposite to 1 has a measure of 65°, write,

m1=65°

Step 4. Conclusion.

The measure of the angle that is vertical to an angle measuring 65° is 65°.

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