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Chapter 2: Q4. (page 32)

Use the conditional: If m鈭�1=120, then 鈭�1 is obtuse.

Write a definition of a straight angle as a biconditional.

Short Answer

Expert verified

The definition of a straight angle as a biconditional is that if and only if m鈭�1=180, then 鈭�1 is straight angle.

Step by step solution

01

Step 1. Description of step.

If both conditional and converse are true then they can be combined into a single statement by using the words if and only if.

The statement that contains the word if and only if is called a biconditional.

02

Step 2. Description of step.

The straight angle is the angle whose measure is 180掳.

03

Step 3. Write the definition of a straight angle as a biconditional.

The definition of a straight angle as a biconditional is that if and only if m鈭�1=180, then 鈭�1 is a straight angle.

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Most popular questions from this chapter

State which definition, postulate, or theorem justifies the statement about the diagram.

m鈭�3+m鈭�4=180

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If Pam lives in Chicago, then she lives in Illinois.

Mention what can be deduced from the given information.

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Tell whether each statement is true or false. Then write converse and tell whether it is true or false.

Statement: If x2=4,thenx=鈭�2.

Copy everything shown and supply missing statements and reasons.

Given: 鈭�AODas shown

Prove: m鈭�AOD=m鈭�1+m鈭�2+m鈭�3

Proof:
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