Chapter 2: Q14 (page 52)

Complete.
$m ∠ F O E = \underline{?}$

Short Answer

Expert verified

The complete statement is: $m ∠ F O E = 60 °$ .

Step by step solution

Step 1. Observe the given diagram.

The given diagram is:

From the given diagram it can be noticed that:

$∠ B O C = 60 °$

Step 2. Definition of congruent angles.

The two angles are said to be congruent angles if they have equal measure.

If two angles A and B are congruent then it can be written as $∠ A ≅ ∠ B$ .

Step 3. Write the theorem 2-3.

The theorem 2-3 states that the vertical angles are congruent.

Step 4. Write the relations between the angles FOE and BOC.

From the diagram, it can be noticed that:

The angles $F O E$ and $B O C$ are vertically opposite angles.

Therefore, from theorem 2-3, it can be said that the angles $F O E$ and $B O C$ are congruent angles.

Therefore, $∠ F O E ≅ ∠ B O C$ .

Therefore, $∠ F O E = ∠ B O C = 60 °$ .

Step 5. Complete the statement.

Therefore, the measure of the angle $F O E$ is $60 °$ .

Therefore, the complete statement is: $m ∠ F O E = 60 °$ .

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.

Statement	Reasons
1. A, M, and B have coordinated a, x, and b respectively; $b > a$ .	1. ?
2. $A M = x - a; M B = b - x$	2. ?
3. M is the midpoint of $\bar{A B}$ .	3. ?
4. $\bar{A M} ≅ \bar{M B}$ , or $A M = M B$	4. ?
5. $x - a = b - x$	5. ?
6. $2 x =$ ?	6. ?
7. $x = \frac{a + b}{2}$	7. ?

Complete.
$m ∠ F O E = \underline{?}$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Definition of congruent angles.

Step 3. Write the theorem 2-3.

Step 4. Write the relations between the angles FOE and BOC.

Step 5. Complete the statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Geometry

Probability and Statistics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Complete.m∠FOE=?¯

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Definition of congruent angles.

Step 3. Write the theorem 2-3.

Step 4. Write the relations between the angles FOE and BOC.

Step 5. Complete the statement.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Logic and Functions

Geometry

Probability and Statistics

Mechanics Maths

Pure Maths

Study anywhere. Anytime. Across all devices.

Complete.
$m ∠ F O E = \underline{?}$