Chapter 2: Q4. (page 37)

Complete. You may find that drawing a diagram will help you.
If $∠ P O Q$ is a straight angle and Ris any point not on $\overset{\leftrightarrow}{P Q}$ , then $m ∠$ _?_+ $m ∠$ _?_= _?_.

Short Answer

Expert verified

If $∠ P O Q$ is a straight angle and R is any point not on $\overset{\leftrightarrow}{P Q}$ , then $m ∠ P O R + m ∠ R O Q = 180^{0}$ .

Step by step solution

Step 1. State the concept used.

The straight angle measures $180^{0}$ .
Angle addition postulate: The Angle addition postulate states that if two angles are placed side by side, then the value of the resulting angle is equal to the sum of the original angles
The angle formed by two side by side angles is the sum of their measures.

Step 2. Draw the diagram.

Draw the diagram with the point R not on $\overset{\leftrightarrow}{P Q}$ and a straight angle $∠ P O Q$ .

Step 3. State the conclusion.

Using angle addition postulate,

$m ∠ P O R + m ∠ R O Q = m ∠ P O Q$

And since, $∠ P O Q$ is a straight angle therefore, the measure of the angle will be $180^{0}$ .

Hence, localid="1648791697962" $m ∠ P O R + m ∠ R O Q = 180^{0}$ .

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Complete. You may find that drawing a diagram will help you.
If $∠ P O Q$ is a straight angle and Ris any point not on $\overset{\leftrightarrow}{P Q}$ , then $m ∠$ _?_+ $m ∠$ _?_= _?_.

Short Answer

Step by step solution

Step 1. State the concept used.

Step 2. Draw the diagram.

Step 3. State the conclusion.

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Complete. You may find that drawing a diagram will help you.If∠POQis a straight angle and Ris any point not on PQ↔, thenm∠___?___+m∠___?___= ___?___.

Short Answer

Step by step solution

Step 1. State the concept used.

Step 2. Draw the diagram.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Geometry

Statistics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Complete. You may find that drawing a diagram will help you.
If $∠ P O Q$ is a straight angle and Ris any point not on $\overset{\leftrightarrow}{P Q}$ , then $m ∠$ _?_+ $m ∠$ _?_= _?_.