Chapter 2: Q2 (page 52)

Find the measures of a compliment and a supplement of $∠ K$ .
$m ∠ K = 72 \frac{1}{2}$

Short Answer

Expert verified

The measures of a compliment and a supplement of $∠ K$ are $17 \frac{1}{2}$ and $107 \frac{1}{2}$ respectively.

Step by step solution

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

The complement of the angle K is given by:

$m \{c o m p . ∠ K\} = 90 - K$

The supplement of the angle K is given by:

$m \{supp . ∠ K\} = 180 - K$

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

$m \{c o m p . ∠ K\} = 90 - 72 \frac{1}{2}$

$= 17 \frac{1}{2}$

Therefore, the complement of the angle K is $= 17 \frac{1}{2}$ .

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

$m \{supp . ∠ K\} = 180 - 72 \frac{1}{2}$

$= 107 \frac{1}{2}$

Therefore, the supplement of the angle K is $107 \frac{1}{2}$ .

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Find the measures of a compliment and a supplement of $∠ K$ .
$m ∠ K = 72 \frac{1}{2}$

Short Answer

Step by step solution

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

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

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

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Find the measures of a compliment and a supplement of ∠K.m∠K=7212

Short Answer

Step by step solution

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

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

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

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Discrete Mathematics

Statistics

Decision Maths

Study anywhere. Anytime. Across all devices.

Find the measures of a compliment and a supplement of $∠ K$ .
$m ∠ K = 72 \frac{1}{2}$