Question

Drag an answer to each box to complete this paragraph proof.

Given: ∠WXY and ∠YXZ are supplementary angles and ​ m∠WXY=75° ​

Prove: m∠YXZ=105°

https://static.k12.com/nextgen_media/assets/8105919-NG_GMT_DP100_443_001.jpg

It is given that ∠WXY and ∠YXZ are _________. So, m∠WXY+m∠YXZ=180° using the ___________. It is also given that ​ ​ m∠WXY=75° ​ ​. Using the substitution property of equality, 75°+m∠YXZ=180° ​. Therefore, using the subtraction property of equality, ​​ m∠YXZ= _____________ .

complementary angles
supplementary angles
definition of complementary angles
definition of supplementary angles
75°
105°
180°

Answer 1

@Shadow

Answer 2

the question states that ∠WXY and ∠YXZ are supplementary, so naturally the first blank is supplementary

the second blank states that these two angles add up to 180, is this definition of supplementary or definition of complementary?

for the third blank solve 75°+m∠YXZ=180° ​ for <YXZ and your solution should go into the blank

Answer 3

second complementary

Answer 4

@Vocaloid

Answer 5

remember that supplementary angles add up to 180 and complementary angles add up to 90

so the second blank should be "definition of supplementary angles"

Answer 6

and third is 105

Answer 7

is it right ?

Answer 8

@Vocaloid

Answer 9

yes

Answer 10

@Vocaloid

Answer 11

hm. i'm not 100% sure on this but here are my thoughts

<ABD and <DBC are supplementary --> this statement follows from the linear pair definition so linear pair postulate
< ABD + <DBC add up to 180 ---> this statement follows from the statement defining the angles as supplementary, so definition of supplementary angles

Answer 12

Drag an answer to each box to complete this paragraph proof.

Given: Triangle PQR with m∠P=(x)° , m∠Q=(3x)° , and m∠R=(5x)° .

Prove: x = 20

https://prnt.sc/gnl7da

Answer 13

the first blank must show that all the angles add up to 180

the second blank must show the solved x-value

that being said which two might be the solution?

Answer 14

for the first blank, which choice shows angles being added up to 180?

Answer 15

a triangle has three angles, right? so which choice looks the most like

____ + ____ + ____ = 180
with three angle values in the blanks?

Answer 16

X = 20

Answer 17

that's the second blank, what about the first blank?

Answer 18

m=PQR=180

Answer 19

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
a triangle has three angles, right? so which choice looks the most like

____ + ____ + ____ = 180
with three angle values in the blanks?
\(\color{#0cbb34}{\text{End of Quote}}\)

remember, we must add up three angles, not just one angle.

Answer 20

9, 10 AND 20

Answer 21

there are only two answer choices where three things are being added up

1. x + 3x + 5x = 180
2. x + 3x + 5x = 9x

which choice shows three things being added up to 180?

Answer 22

1.

Answer 23

good

so the first blank is x + 3x + 5x = 180
and the second blank is x = 20

Answer 24

https://static.k12.com/nextgen_media/assets/8105925-NG_GMT_DP100_424_002.jpg

A conjecture and a portion of the flowchart proof used to prove the conjecture are shown.



Which equation best represents the information that should be in the box labeled 1?


A. 2a + 4 = 20

B. 4a + 4 = 20

C. 4a = 10

D. 2a = 20

Answer 25

B.

Answer 26

good

Answer 27

https://static.k12.com/nextgen_media/assets/8105923-NG_GMT_DP024_67_001.jpg

A statement and portions of the flowchart proof of the statement are shown.

Which reason should appear in the box labeled 1?


A. Linear Pair Postulate

B. Ruler Postulate Angle

C. Angle Congruence Postulate

D. Substitution Property of Equality

Answer 28

any ideas? this step is taking the values for angles PQR and RQS and plugging them into the first equation

Answer 29

B.

Answer 30

hm not quite, the ruler postulate is about finding the measurements of angles manually

another word for "plugging in" is "substituting" so with that being said what might the best answer be?

Answer 31

DR is the point in the interior of m<PQS

Answer 32

out of these 4 choices

A. Linear Pair Postulate

B. Ruler Postulate Angle

C. Angle Congruence Postulate

D. Substitution Property of Equality

which one best describes the idea of taking one value and substituting it into another equation?

Answer 33

oh D

Answer 34

good

Answer 35

THANK YOU SO MUCH FOR YOUR HELP VOCALOID