Chapter 1: Q33 (page 20)

Given the diagram, state whether you can reach the conclusion shown.
$m ∠ A O F ≃ 130$

Short Answer

Expert verified

We can conclude that $m ∠ A O F ≃ 130$

Step by step solution

Step 1. Observe the given diagram.

Step 2. Highlight the ∠AOF in the given diagram.

Step 3. Explain whether you can reach the given conclusion.

As $∠ A O C ≅ ∠ B O C$ implies that $m ∠ A O C = ∠ B O C = 90 °$ and it is given in the figure that $m ∠ B O F = 50 °$

$∠ A O B$ is a straight angle, that is, and it can be written as

$\begin{array}{l} m ∠ A O B = m ∠ A O C + m ∠ B O C \\ = m ∠ A O C + m ∠ C O F + m ∠ B O F \end{array}$

Then,

$\begin{array}{l} 180 = 90 + m ∠ C O F + 50 \\ m ∠ C O F = 180 - 90 - 50 \\ = 40 ° \end{array}$

$∠ A O F$ can be written as

$\begin{array}{l} m ∠ A O F = m ∠ A O C + m ∠ C O F \\ = 90 + 40 \\ = 130 ° \end{array}$

Therefore we can conclude that, $m ∠ A O F ≃ 130$ .

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Given the diagram, state whether you can reach the conclusion shown.
$m ∠ A O F ≃ 130$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Highlight the ∠AOF in the given diagram.

Step 3. Explain whether you can reach the given conclusion.

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Given the diagram, state whether you can reach the conclusion shown.m∠AOF≃130

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Highlight the ∠AOF in the given diagram.

Step 3. Explain whether you can reach the given conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Discrete Mathematics

Decision Maths

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Given the diagram, state whether you can reach the conclusion shown.
$m ∠ A O F ≃ 130$