a. If EF 5 848, find:(1) /EFD (2) HF(3) /1b. If EF 5 798, find: (1) /EFD(2) HF (3) /1 ### Problem Statement**20.** a. If $ \angle EF = 84^\circ $, find: 1. $ \angle EFD $ 2. $ \angle HF $ 3. $ \angle 1 $ b. If $ \angle EF = 79^\circ $, find: 1. $ \angle EFD $ 2. $ \angle HF $ 3. $ \angle 1 $ ### Diagram ExplanationThe diagram on the right depicts a circle with a tangent line $ HP $ and two tangents $ ED $ and $ EH $ meeting the circle at a common point $ F $. The angle $ \angle 1 $ is formed outside the circle between lines $ EH $ and $ HP $. The internal angle $ \angle EFD $ is given as $ 87^\circ $.- **Tangent Line HP:** A line that touches the circle at only one point $ H $.- **Tangent Lines ED and EH:** These lines are tangents to the circle meeting at point $ F $.- **Angle Measurements:** The interior angle $ \angle EFD $ is $ 87^\circ $ and $ \angle 1 $ is formed at the intersection of the extensions of lines $ EH $ and $ HP $. Consider the properties of tangents and external angles when solving for the unknown angles.

Name: a. If EF 5 848, find:(1) /EFD (2) HF(3) /1b. If EF 5 798, find: (1) /E
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Description: a. If EF 5 848, find:(1) /EFD (2) HF(3) /1b. If EF 5 798, find: (1) /EFD(2) HF (3) /1 ### Problem Statement**20.** a. If $ \angle EF = 84^\circ $, find: 1. $ \angle EFD $ 2. $ \angle HF $ 3. $ \angle 1 $ b. If \( \angle EF = 79^

From the figure given that: =84°To calculate ∠EFD,∠EFD=EF⏜2=84°2∠EFD=42°

Answered: 20. a. If EF = 84°, find (1) ZEFD (2)…

Math

Geometry

20. a. If EF = 84°, find (1) ZEFD (2) HF (3) Z1 17 b. If EF = 79°, find (1) ZEFD 87° (2) HF (3) Z1 F +

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

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Topic Video

Question

a. If EF 5 848, find:

(1) /EFD (2) HF
(3) /1

b. If EF 5 798, find: (1) /EFD

(2) HF (3) /1

### Problem Statement

**20.**
a. If $ \angle EF = 84^\circ $, find:
1. $ \angle EFD $
2. $ \angle HF $
3. $ \angle 1 $

b. If $ \angle EF = 79^\circ $, find:
1. $ \angle EFD $
2. $ \angle HF $
3. $ \angle 1 $

### Diagram Explanation

The diagram on the right depicts a circle with a tangent line $ HP $ and two tangents $ ED $ and $ EH $ meeting the circle at a common point $ F $. The angle $ \angle 1 $ is formed outside the circle between lines $ EH $ and $ HP $. The internal angle $ \angle EFD $ is given as $ 87^\circ $.

- **Tangent Line HP:** A line that touches the circle at only one point $ H $.
- **Tangent Lines ED and EH:** These lines are tangents to the circle meeting at point $ F $.
- **Angle Measurements:** The interior angle $ \angle EFD $ is $ 87^\circ $ and $ \angle 1 $ is formed at the intersection of the extensions of lines $ EH $ and $ HP $.

Consider the properties of tangents and external angles when solving for the unknown angles.

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