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Chapter 2: Q3 (page 51)

Find the measures of a compliment and a supplement of 鈭�A.

m鈭�A=89

Short Answer

Expert verified

The measures of a complement and a supplement of 鈭�Aare 1 and 91 respectively.

Step by step solution

01

Step 1. Formula to find the complement and supplement of the angle A.

The complement of the angle A is given by:

mcomp.鈭�A=90鈭�A

The supplement of the angle A is given by:

msupp.鈭�A=180鈭�A

02

Step 2. Find the complement of the angle A by substituting 89 for A into the formula.

mcomp.鈭�A=90鈭�89

=1

Therefore, the complement of angle A is 1.

03

Step 3. Find the supplement of the angle A by substituting 89 for A into the formula.

msupp.鈭�A=180鈭�89

=91

Therefore, the supplement of angle A is 91.

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Most popular questions from this chapter

State the hypothesis and the conclusion of each conditional.

I鈥檒l try if you will.

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

m鈭�3+m鈭�4=180

Justify each step.

x鈭�2=2x+85

5x鈭�2=2x+8

5x鈭�10=2x+8

3x鈭�10=8

3x=18

x=6

State the converse of each conditional. Is the converse true or false?

If , then .

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

ab=0only if a=0or b=0.
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