Chapter 1: Q22 (page 20)

State the measure of each angle.
$∠ H O A$

Short Answer

Expert verified

The measure of $∠ H O A$ is $180 °$ .

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

Step 2. Observe the given figure and write the values of OA and OH.

It can be observed from the figure that, $\bar{O A}$ is 0 and $\bar{O H}$ is 180.

Step 3. Calculate m∠HOA

$\begin{array}{l} m ∠ H O A = |0 - 180| \\ = |180| \\ = 180 ° \end{array}$

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State the measure of each angle.
$∠ H O A$

Short Answer

Step by step solution

Step 1. Apply protractor postulate.

Step 2. Observe the given figure and write the values of OA and OH.

Step 3. Calculate m∠HOA

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State the measure of each angle.∠HOA

Short Answer

Step by step solution

Step 1. Apply protractor postulate.

Step 2. Observe the given figure and write the values of OA and OH.

Step 3. Calculate m∠HOA

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Mechanics Maths

Discrete Mathematics

Statistics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

State the measure of each angle.
$∠ H O A$