**Geometry Problem: Find the Measures of Angles**In the diagram, $m \angle ACB = 22^\circ$, and $m \angle ADC = 128^\circ$. What are $m \angle EFD$ and $m \angle DAB$?**Diagram Analysis:**The diagram shown features a circle with center **F**, and points A, B, C, D, and E marked on its circumference as follows:- Points **A** and **C** are connected by a line segment passing through the center **F** of the circle.- Points **B** and **D** lie on line segments extending outside of the circle.- **C** and **B** create an external angle of $22^\circ$.- **D** and **A** create an external angle of $128^\circ$.Available options for the angle measures:1. $98^\circ$, $40^\circ$2. $98^\circ$, $30^\circ$3. $30^\circ$, $30^\circ$4. $98^\circ$, $52^\circ$**Solution Explanation:**Based on the given angles, we need to calculate the angles:1. **Exterior Angle Theorem**: The angle outside the circle is equal to half the difference of the intercepted arcs.2. **Inscribed Angle Theorem**: The angle inside a circle is equal to half its intercepted arc.Using the theorems above, we can deduce the measures of angles $EFD$ and $DAB$.By inspection of the provided answer options and employing geometric principles, the correct angle measures are:$m \angle EFD = 98^\circ$ and $m \angle DAB = 40^\circ$Therefore, the correct option is:- **98 degrees, 40 degrees**.

Answered: Image /qna-images/answer/8fd2408e-7678-4155-a024-0d279e5c4cb6.jpg

Answered: В 220 A 128 F D E 98 degree, 40 degree…

Math

Geometry

В 220 A 128 F D E 98 degree, 40 degree 98 degree, 30 degree 30 degree , 30 degree O 98 degree, 52 degree

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

See similar textbooks

Related questions

Q: What is 100+60 plesse

A: Addition of integers with positive signs gives a positive integer.

Q: D pls

Q: $ 438 200 115 2 215 433 380 193 45

A: Arrange the given observations in ascending order. 40, 45,52,115,124,126,185,189,193,200,…

Q: can you do vii on paper

Q: 100 dx

Q: point Use the graph of f(x) shown below to find the following integrals. (Click on the graph for a…

Q: letecx= ae de Where Alo=0, then e

Q: A client weighed 95kg(kilograms) on the initial visit to the clinic. When the client reported for…

Q: What score must a learner earn on the ACT composite test in order for the score to be at the 87.49th…

A: To convert given ACT percentile into ACT score.

Q: Question 2b Subtract 3 -. Simplify the answer. 14 21

Q: 51. 2 In 2 -

A: From the data:

Q: Simplify 389

A: Recall the formula i2=-1

Q: Please answer

A: The solution are next step

Q: 6. x = 7, z =

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: it should be 35 ms

Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

**Geometry Problem: Find the Measures of Angles**

In the diagram, $m \angle ACB = 22^\circ$, and $m \angle ADC = 128^\circ$. What are $m \angle EFD$ and $m \angle DAB$?

**Diagram Analysis:**

The diagram shown features a circle with center **F**, and points A, B, C, D, and E marked on its circumference as follows:

- Points **A** and **C** are connected by a line segment passing through the center **F** of the circle.
- Points **B** and **D** lie on line segments extending outside of the circle.
- **C** and **B** create an external angle of $22^\circ$.
- **D** and **A** create an external angle of $128^\circ$.

Available options for the angle measures:
1. $98^\circ$, $40^\circ$
2. $98^\circ$, $30^\circ$
3. $30^\circ$, $30^\circ$
4. $98^\circ$, $52^\circ$

**Solution Explanation:**

Based on the given angles, we need to calculate the angles:

1. **Exterior Angle Theorem**: The angle outside the circle is equal to half the difference of the intercepted arcs.
2. **Inscribed Angle Theorem**: The angle inside a circle is equal to half its intercepted arc.

Using the theorems above, we can deduce the measures of angles $EFD$ and $DAB$.

By inspection of the provided answer options and employing geometric principles, the correct angle measures are:

$m \angle EFD = 98^\circ$ and $m \angle DAB = 40^\circ$

Therefore, the correct option is:
- **98 degrees, 40 degrees**.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Fundamental Counting Principle$

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