Chapter 1: Q21 (page 20)

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

Short Answer

Expert verified

The measure of $∠ G O B$ is role="math" localid="1638173282461" $140 °$ .

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 $\bar{O G}$ is paired with x, and $\bar{O B}$ with y, then $m ∠ G O B = |x - y|$ .

Step 2. Observe the given figure and write the values of OG and OB.

It can be observed from the figure that, $\bar{O G}$ is 160 and $\bar{O B}$ is 20.

Step 3. Calculate m∠GOB

$\begin{array}{l} m ∠ G O B = |160 - 20| \\ = |140| \\ = 140 ° \end{array}$

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

Short Answer

Step by step solution

Step 1. Apply protractor postulate.

Step 2. Observe the given figure and write the values of OG and OB.

Step 3. Calculate m∠GOB

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State the measure of each angle.∠GOB

Short Answer

Step by step solution

Step 1. Apply protractor postulate.

Step 2. Observe the given figure and write the values of OG and OB.

Step 3. Calculate m∠GOB

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Theoretical and Mathematical Physics

Discrete Mathematics

Decision Maths

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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