Chapter 3: Q14. (page 114)

In the diagram $\overset{\leftrightarrow}{AB}$ bisects ∠DHF, $\overset{\leftrightarrow}{AB} ⊥ \bar{GH}$ , $\overset{\leftrightarrow}{AB} ∥ \overset{\leftrightarrow}{CD}$ , and $m ∠ A H D = 60 °$ . Find the measure of each angle.
$‎ ∠ F H D$

Short Answer

Expert verified

The angle $∠ F H D$ is120°

Step by step solution

Step 1. Observe the diagram.

Here, $∠ A H D = 60 °$ , $\overset{\leftrightarrow}{A B} ⊥ \bar{G H}$ , $\overset{\leftrightarrow}{A B} ∥ \overset{\leftrightarrow}{C D}$ and $\overset{\leftrightarrow}{A B}$ bisects $∠ D H F$ .

Step 2. Show the calculation.

From the figure,

$\begin{matrix} ∠ A H D = \frac{1}{2} ∠ F H D \\ ∠ F H D = 2 \times ∠ A H D \\ = 2 \times 60^{\circ} \\ = 120^{\circ} \end{matrix}$

Step 3. State the conclusion.

Therefore, $∠ F H D = 120 °$ .

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the diagram $\overset{\leftrightarrow}{AB}$ bisects ∠DHF, $\overset{\leftrightarrow}{AB} ⊥ \bar{GH}$ , $\overset{\leftrightarrow}{AB} ∥ \overset{\leftrightarrow}{CD}$ , and $m ∠ A H D = 60 °$ . Find the measure of each angle.
$‎ ∠ F H D$

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

Probability and Statistics

Pure Maths

Decision Maths

Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the diagram AB↔bisects ∠DHF, AB↔⊥GH¯, AB↔∥CD↔, and m∠AHD=60°. Find the measure of each angle.‎∠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

Probability and Statistics

Pure Maths

Decision Maths

Statistics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the diagram $\overset{\leftrightarrow}{AB}$ bisects ∠DHF, $\overset{\leftrightarrow}{AB} ⊥ \bar{GH}$ , $\overset{\leftrightarrow}{AB} ∥ \overset{\leftrightarrow}{CD}$ , and $m ∠ A H D = 60 °$ . Find the measure of each angle.
$‎ ∠ F H D$