Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 3: Q14. (page 114)

In the diagram $\overset{鈫�}{AB}$ bisects $鈭� D H F, \overset{鈫�}{A B} 鈯� \overset{炉}{G H}, \overset{鈫�}{A B} 鈭� \overset{鈫�}{C D},$ and $m 鈭� A H D = 60^{鈭�}$ . Find the measure of each angle.
$鈭� FHD$

Short Answer

Expert verified

The angle $鈭� F H D$ is $120^{鈭�}$

Step by step solution

Step 1. Observe the diagram.

Here, $鈭� A H D = 60^{鈭�}, \overset{鈫�}{A B} 鈯� \overset{炉}{G H}, \overset{鈫�}{A B} 鈭� \overset{鈫�}{C D}$ and $\overset{鈫�}{A B}$ bisects $鈭� D H F$ .

Step 2. Show the calculation.

From the figure,

$鈭� A H D = \frac{1}{2} 鈭� F H D 鈭� F H D = 2 脳鈭� A H D = 2 脳 60^{鈭�} = 120^{鈭�}$

Step 3. State the conclusion.

Therefore, $鈭� F H D = 120^{鈭�}$

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91影视

In the diagram $\overset{鈫�}{AB}$ bisects $鈭� D H F, \overset{鈫�}{A B} 鈯� \overset{炉}{G H}, \overset{鈫�}{A B} 鈭� \overset{鈫�}{C D},$ and $m 鈭� A H D = 60^{鈭�}$ . Find the measure of each angle.
$鈭� FHD$

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

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91影视

In the diagram AB鈫�bisects 鈭�DHF,AB鈫�鈯�GH炉,AB鈫�鈭�CD鈫�,and m鈭�AHD=60鈭�. Find the measure of each angle.鈭�FHD

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Mechanics Maths

Discrete Mathematics

Calculus

Pure Maths

Statistics

Study anywhere. Anytime. Across all devices.

In the diagram $\overset{鈫�}{AB}$ bisects $鈭� D H F, \overset{鈫�}{A B} 鈯� \overset{炉}{G H}, \overset{鈫�}{A B} 鈭� \overset{鈫�}{C D},$ and $m 鈭� A H D = 60^{鈭�}$ . Find the measure of each angle.
$鈭� FHD$