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Paha777 [63]
2 years ago
7

In the diagram, Ray K QJKM is a straight angle.

Mathematics
1 answer:
mixas84 [53]2 years ago
3 0

The true statements about the diagram given are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

<h3>What is an Angle Bisector?</h3>

An angle bisector is a segment that divides a given angle into two parts that are congruent to each other.

The missing part of the question is in the image attached below.

In the image given, PK bisects the straight angle JKM since angles JKP and MKP both equal 90 degrees (right angle).

Therefore, m∠JKL = m∠PKL = 45°

m∠MKQ + m∠PKQ = m∠PKM based on the angle addition theorem.

Therefore, the true statements are:

3. m∠JKL = 45°

4. m∠MKQ + m∠PKQ = m∠PKM

5. PK is an angle bisector

(see image attached below)

Learn more about angle bisector on:

brainly.com/question/24677341

#SPJ1

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A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which equation(s) describes the total cost
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Answer:

9) JK = 24.5

10) LM = 24.5

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Step-by-step explanation:

in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent

so, ∡K = ∡M and ∡J = ∡L

since ∡'s L and M are adjacent we can add them and set them equal to 180

5z - 6 + 2z - 3 = 180

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therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51

Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM

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