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Chapter 2: Q4 (page 51)

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

m鈭�A=y

Short Answer

Expert verified

The measures of a complement and a supplement of 鈭�Aare 90鈭�yand 180鈭�yrespectively.

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 y for A into the formula.

mcomp.鈭�A=90鈭�y

Therefore, the complement of angle A is 90鈭�y.

03

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

msupp.鈭�A=180鈭�y

Therefore, the supplement of the angle A is 180鈭�y.

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Most popular questions from this chapter

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.

Justify each statement with a property from algebra or property of congruence.

If AB=CD,CD=EFand EF=23then AB=23.

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:

Justify each step.

23b=8鈭�2b

2b=38鈭�2b

2b=24鈭�6b

8b=24

b=3

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

AE+EF=AF
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