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
icon
Related questions
Topic Video
Question
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning