Consider the following figure. A quadrilateral has four labeled vertices, three labeled angles, and a line segment inside it. The left side starts at vertex A, travels down and to the left, and ends at vertex D. The bottom is horizontal, starts at vertex D on the left and ends at vertex C on the right. The right side starts at vertex C, travels up and to the left, and ends at vertex B. The top side is horizontal, starts at vertex B on the right and ends at vertex A on the left. The line segment starts at vertex B, travels down and to the left, and ends at vertex D. At vertex D, the angle above the line segment is labeled 1 and the angle below the line segment is labeled 2. At vertex B, the angle above the line segment is labeled 3. Given: AB ∥ DC DB bisects ∠ADC m∠1 = 34°Find: m∠A in degrees
Consider the following figure. A quadrilateral has four labeled vertices, three labeled angles, and a line segment inside it. The left side starts at vertex A, travels down and to the left, and ends at vertex D. The bottom is horizontal, starts at vertex D on the left and ends at vertex C on the right. The right side starts at vertex C, travels up and to the left, and ends at vertex B. The top side is horizontal, starts at vertex B on the right and ends at vertex A on the left. The line segment starts at vertex B, travels down and to the left, and ends at vertex D. At vertex D, the angle above the line segment is labeled 1 and the angle below the line segment is labeled 2. At vertex B, the angle above the line segment is labeled 3. Given: AB ∥ DC DB bisects ∠ADC m∠1 = 34°Find: m∠A in degrees
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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Consider the following figure.
A quadrilateral has four labeled vertices, three labeled angles , and a line segment inside it.
- The left side starts at vertex A, travels down and to the left, and ends at vertex D.
- The bottom is horizontal, starts at vertex D on the left and ends at vertex C on the right.
- The right side starts at vertex C, travels up and to the left, and ends at vertex B.
- The top side is horizontal, starts at vertex B on the right and ends at vertex A on the left.
- The line segment starts at vertex B, travels down and to the left, and ends at vertex D.
- At vertex D, the angle above the line segment is labeled 1 and the angle below the line segment is labeled 2.
- At vertex B, the angle above the line segment is labeled 3.
Given:
Find: m∠A in degrees
AB ∥ DC |
DB bisects ∠ADC |
m∠1 = 34° |
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