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Chapter 2: Q1 (page 52)

Find the measures of a compliment and a supplement of ∠K.

m∠K=20

Short Answer

Expert verified

The measures of a compliment and a supplement of ∠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.∠K=90−K

The supplement of the angle K is given by:

msupp.∠K=180−K

02

Step 2. Find the complement of the angle K by substituting 20 for K into the formula.

mcomp.∠K=90−20

=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.∠K=180−20

=160

Therefore, the supplement of the angle K is 160.

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Most popular questions from this chapter

Prove the following statement by filling in the blanks.

If A and B have coordinated a and b, with b>a, and the midpoint M of AB¯ has coordinate x, then prove x=a+b2.

Proof:

Statement

Reasons

1. A, M, and B have coordinated a, x, and b respectively; b>a.

1. ?

2. AM=x−a;MB=b−x

2. ?

3. M is the midpoint of AB¯.

3. ?

4. AM¯≅MB¯, orAM=MB

4. ?

5.x−a=b−x

5. ?

6. 2x=?

6. ?

7. x=a+b2

7. ?

State the number that is paired with the bisector of ∠CDE.

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

If EB→ is the bisector of ∠AEC, then m∠AEB=12m∠AEC .

Consider the following statements:

Reflexive Property: Robot A is as rusty as itself.

Symmetric Property: If Robot A is as rusty as Robot B, then Robot B is as rusty as Robot A.

Transitive Property: If Robot A is as rusty as Robot B and Robot B is as rusty as Robot C, then Robot A is as rusty as Robot C.

A relation such as “is as rusty as” that is reflexive, symmetric, and transitive is an equivalence relation. Which of the following are equivalence relations?

a. Is rustier than

b. Has the same length as

c. Is opposite (for rays)

d. Is coplanar with (for lines)

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

m∠AEB+m∠BEC=m∠AEC
See all solutions

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