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Chapter 2: Q4 (page 52)

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

m鈭�K=2y

Short Answer

Expert verified

The measures of a complement and a supplement of 鈭�Kare 90鈭�2yand 180鈭�2yrespectively.

Step by step solution

01

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

The complement of the angle K is given by:

mcomp.鈭�K=90鈭�K

The supplement of the angle K is given by:

msupp.鈭�K=180鈭�K

02

Step 2. Find the complement of the angle K by substituting 2y for K into the formula.

mcomp.鈭�K=90鈭�2y

Therefore, the complement of the angle K is 90鈭�2y.

03

Step 3. Find the supplement of the angle K by substituting 2y for K into the formula.

msupp.鈭�K=180鈭�2y

Therefore, the supplement of the angle K is 180鈭�2y.

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Most popular questions from this chapter

Solve each system of equations by the substitution method.

x=8+3y2x-5y=8

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

m鈭�3+m鈭�4=180

Use the conditional: If AB炉and CD炉intersect, then AB鈫�and CD鈫�intersect.

Write the converse of the conditional. Is the converse true or false?

Cut the Mobius band lengthwise down the middle. (Start at a point midway between the edges and cut around the band.) What is the result? Cut the band a second time down the middle. Write a sentence or two describing what happens.

Can the measure of a complement of an angle ever equal exactly half the measure of a supplement of the angle? Explain.
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