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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter5: Division Of Common Fractions And Mixed Numbers
Section: Chapter Questions
Problem 16A: This sheet metal section shown in Figure 5-5 has five sets of drilled holes: A, B, C, D, and E. The...
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
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
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
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL