Chapter 1: Q12 (page 20)

State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.
$∠ A D E$

Short Answer

Expert verified

The angle $∠ A D E$ appears to be straight angle and it’s estimated measure is $(m ∠ 5 + m ∠ 6 + m ∠ 7)$ .

Step by step solution

Step 1. Apply the definition of straight angle.

Straight angle is an angle which measures exactly $180 °$ .

Step 2. Description of step.

From the given figure, it can be observed that the $∠ A D E$ measures exactly, $180 °$ therefore, $∠ A D E$ appears to be straight angle.

Step 3. Estimate the measure of ∠ADE

Clearly, $∠ A D E = ∠ A D B + ∠ B D C + ∠ C D E$ wherein $∠ A D B = m ∠ 5$ , $∠ B D C = m ∠ 6$ and $∠ C D E = m ∠ 7$ .

$\begin{array}{l} ∠ A D E = m ∠ 5 + m ∠ 6 + m ∠ 7 \\ = 180 ° \end{array}$

Therefore, the estimated measure of $∠ A D E = 180 °$ .

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.

State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.
$∠ A D E$

Short Answer

Step by step solution

Step 1. Apply the definition of straight angle.

Step 2. Description of step.

Step 3. Estimate the measure of ∠ADE

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Calculus

Discrete Mathematics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.∠ADE

Short Answer

Step by step solution

Step 1. Apply the definition of straight angle.

Step 2. Description of step.

Step 3. Estimate the measure of ∠ADE

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Calculus

Discrete Mathematics

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

State whether the angle appears to be acute, right, obtuse, or straight. Then estimate its measure.
$∠ A D E$