Q2 Find the measures of a complimen... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 2: Q2 (page 52)

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

Short Answer

Expert verified

The measures of a compliment and a supplement of $鈭� K$ 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:

$m \{c o m p . 鈭� K\} = 90 鈭� K$

The supplement of the angle K is given by:

$m \{supp . 鈭� K\} = 180 鈭� K$

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

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

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

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.

$m \{supp . 鈭� K\} = 180 鈭� 72 \frac{1}{2}$

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

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

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Statement	Reasons
1. A, M, and B have coordinated a, x, and b respectively; $b > a$ .	1. ?
2. $A M = x 鈭� a; M B = b 鈭� x$	2. ?
3. M is the midpoint of $\overset{炉}{A B}$ .	3. ?
4. $\overset{炉}{A M} 鈮� \overset{炉}{M B}$ , or $A M = M B$	4. ?
5. $x 鈭� a = b 鈭� x$	5. ?
6. $2 x =$ ?	6. ?
7. $x = \frac{a + b}{2}$	7. ?

91影视

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

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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91影视

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

Pure Maths

Probability and Statistics

Discrete Mathematics

Decision Maths

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

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