Chapter 1: Q19 (page 20)

State the measure of each angle.
$∠ F O G$

Short Answer

Expert verified

The measure $∠ F O G$ of is $40 °$ .

Step by step solution

Step 1. Apply protractor postulate.

On $\bar{A H}$ in a given plane, choose any point O between A and B.

Consider rays, $\bar{O A}$ and $\bar{O H}$ which are drawn from point O on $\bar{A H}$ .

These rays results in pairing with the angles from 0 to 180 in such a way that:

The line $\bar{O A}$ is paired with 0, and $\bar{O H}$ with 180.

If $\bar{O F}$ is paired with x, and role="math" localid="1638171477504" $\bar{O G}$ with y, then $m ∠ F O G = |x - y|$ .

Step 2. Observe the figure below and write the values of OF and OG.

It can be observed from the figure that, $\bar{O F}$ is 120 and $\bar{O G}$ is 160.

Step 3. Calculate m∠FOG

$\begin{array}{l} m ∠ F O G = |120 - 160| \\ = |- 40| \\ = 40 ° \end{array}$

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State the measure of each angle.
$∠ F O G$

Short Answer

Step by step solution

Step 1. Apply protractor postulate.

Step 2. Observe the figure below and write the values of OF and OG.

Step 3. Calculate m∠FOG

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State the measure of each angle.∠FOG

Short Answer

Step by step solution

Step 1. Apply protractor postulate.

Step 2. Observe the figure below and write the values of OF and OG.

Step 3. Calculate m∠FOG

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Mechanics Maths

Probability and Statistics

Pure Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

State the measure of each angle.
$∠ F O G$