8 in. 34° 8 in. 134 3 13 in. 13 in. 4 17 in. 17 in. 61° 2.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A carpenter is building a support for a stage. What should be the measures of angle 1, angle 2, angle 3, and angle 4?
8 in. 34°
8 in.
134 3
13 in.
13 in.
4
17 in.
17 in.
61°
2.
Transcribed Image Text:8 in. 34° 8 in. 134 3 13 in. 13 in. 4 17 in. 17 in. 61° 2.
Expert Solution
Step 1

Properties of a rectangle:

1. Opposite sides are parallel and equal.

2. All interior angles are the right angles.

3. Diagonals of a rectangle are equal.

4. Diagonals of a rectangle bisect each other and they divide the rectangle into 4 isosceles triangles.

Vertically opposite angles: If two lines intersect each other, then the vertically opposite angles are equal.

Linear pair: Two angles on the same side of a straight line whose sum is 180 degrees.

Base angles of an isosceles triangle are equal.

Angle sum property: The sum of all interior angles of a triangle is 180 degrees.

If a transversal line intersects two parallel lines, then alternate interior angles are equal.

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