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Chapter 2: Q1 (page 52)

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

m鈭�K=20

Short Answer

Expert verified

The measures of a compliment and a supplement of 鈭�Kare 70 and 160 respectively.

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 20 for K into the formula.

mcomp.鈭�K=90鈭�20

=70

Therefore, the complement of the angle K is 70.

03

Step 3. Find the supplement of the angle K by substituting 20 for K into the formula.

msupp.鈭�K=180鈭�20

=160

Therefore, the supplement of the angle K is 160.

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Most popular questions from this chapter

Write a definition of congruent angles as a biconditional.

Justify each step.

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