Given the figure to the right and the fact that m ZABD = 133°, find the measurements of the angles helow

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

Please help! 

**Problem Solving Prompt**

Solve the problem below. Be sure to show all calculations. Explanations given to justify your solutions must be given in complete sentences.

**Problem Statement**

**Given the figure to the right and the fact that \( m∠ABD = 133° \), find the measurements of the angles below.**

**Diagram Explanation**
The diagram provided is of a triangle \(ΔABC\) with an additional line from vertex \(B\) to a point \(D\) on side \(AC\), creating two smaller triangles \(ΔABD\) and \(ΔBCD\).

- \(BD\) is given as 22 inches.
- \(AD\) is given as 20 inches.
- \(DC\) is given as 20 inches.

This tells us that triangle \(ΔBDC\) is isosceles with \(BD = DC\).

**Questions to Answer**
1. \(m∠ABC =\) _______
2. \(m∠BCD =\) _______
3. \(m∠ACB =\) _______

*Solution Instructions*: Show all work, and use complete sentences to justify your solutions.
Transcribed Image Text:**Problem Solving Prompt** Solve the problem below. Be sure to show all calculations. Explanations given to justify your solutions must be given in complete sentences. **Problem Statement** **Given the figure to the right and the fact that \( m∠ABD = 133° \), find the measurements of the angles below.** **Diagram Explanation** The diagram provided is of a triangle \(ΔABC\) with an additional line from vertex \(B\) to a point \(D\) on side \(AC\), creating two smaller triangles \(ΔABD\) and \(ΔBCD\). - \(BD\) is given as 22 inches. - \(AD\) is given as 20 inches. - \(DC\) is given as 20 inches. This tells us that triangle \(ΔBDC\) is isosceles with \(BD = DC\). **Questions to Answer** 1. \(m∠ABC =\) _______ 2. \(m∠BCD =\) _______ 3. \(m∠ACB =\) _______ *Solution Instructions*: Show all work, and use complete sentences to justify your solutions.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Research Design Formulation
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.
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