8. In the diagram below of circle O, MZABC = 24. What is the MZAOC? O 12 O 24 O 48 60

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
icon
Concept explainers
Topic Video
Question
Can you help me with this assignment?
**Geometry Problems on Circles**

---
### Problem 8
**Question:** In the diagram below of circle O, m∠ABC = 24°. What is the m∠AOC?

**Diagram Description:** 
The diagram illustrates a circle centered at point O. There are three points on the circumference of the circle labeled A, B, and C. Lines are drawn from point O to each of these points (A, B, and C) making triangles OAB and OAC. The angle ∠ABC measures 24°.

**Answer Choices:**
- A) 12°
- B) 24°
- C) 48°
- D) 60°

### Problem 9
**Question:** In the diagram below of circle O, PAC and PBD are secants. If arc CD = 70° and arc AB = 20°, what is the degree measure of ∠P?

**Diagram Description:**
The diagram suggests that there are two secants, PAC and PBD, intersecting the circle O. However, the diagram is not fully visible in the provided image.

---

**Explanation:**
To access and solve these problems, students need to understand the properties of circles and angles. For Problem 8, note that angle ∠AOC is twice the measure of ∠ABC because it is subtended by the same arc. For Problem 9, one would typically apply the properties of intersecting secants and the measure of the angles formed outside the circle, which is equal to half the difference of the measures of the intercepted arcs.
Transcribed Image Text:**Geometry Problems on Circles** --- ### Problem 8 **Question:** In the diagram below of circle O, m∠ABC = 24°. What is the m∠AOC? **Diagram Description:** The diagram illustrates a circle centered at point O. There are three points on the circumference of the circle labeled A, B, and C. Lines are drawn from point O to each of these points (A, B, and C) making triangles OAB and OAC. The angle ∠ABC measures 24°. **Answer Choices:** - A) 12° - B) 24° - C) 48° - D) 60° ### Problem 9 **Question:** In the diagram below of circle O, PAC and PBD are secants. If arc CD = 70° and arc AB = 20°, what is the degree measure of ∠P? **Diagram Description:** The diagram suggests that there are two secants, PAC and PBD, intersecting the circle O. However, the diagram is not fully visible in the provided image. --- **Explanation:** To access and solve these problems, students need to understand the properties of circles and angles. For Problem 8, note that angle ∠AOC is twice the measure of ∠ABC because it is subtended by the same arc. For Problem 9, one would typically apply the properties of intersecting secants and the measure of the angles formed outside the circle, which is equal to half the difference of the measures of the intercepted arcs.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Application of Algebra
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