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Chapter 2: Q1 (page 51)

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

m鈭�A=10

Short Answer

Expert verified

The measures of a complement and a supplement of are 80 and 170 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 10 for A into the formula.

mcomp.鈭�A=90鈭�10

=80

Therefore, the complement of angle A is 80.

03

Step 3. Find the supplement of the angle A by substituting 10 for A into the formula.

msupp.鈭�A=180鈭�10

=170

Therefore, the supplement of angle A is 170.

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