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: Q16. CUR (page 114)

In the diagram $\overset{鈫�}{A B}$ 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.
$鈭� F H G$

Short Answer

Expert verified

The angle $鈭� F H G$ is $30^{鈭�}$

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,

$\overset{鈫�}{A B}$ bisects $鈭� D H F$

$鈭� A H D = 鈭� A H F = 60^{鈭�} 鈭� A H G = 鈭� A H F + 鈭� F H G 90^{鈭�} = 60^{鈭�} + 鈭� F H G 鈭� F H G = 30^{鈭�}$

Hence the angle $鈭� F H G = 30^{鈭�}$

Step 3. State the conclusion.

Therefore, $鈭� F H G = 30^{鈭�}$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Statement	Reason
1. $k 鈭� l$	Given
2. $鈭� 3 鈮� 鈭� 2$	If two parallel lines are cut by transversal then alt. int. $鈭� s$ are $鈮�$
3. $鈭� 1 鈮� 鈭� 3$	Vert. $鈭� s$ are $鈮�$
4. $鈭� 1 鈮� 鈭� 2$	Transitive Property

91影视

In the diagram $\overset{鈫�}{A B}$ 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.
$鈭� F H G$

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

Theoretical and Mathematical Physics

Statistics

Pure Maths

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

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�FHG

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

Theoretical and Mathematical Physics

Statistics

Pure Maths

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

In the diagram $\overset{鈫�}{A B}$ 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.
$鈭� F H G$