Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

3 lines are shown. A line with points T, R, W intersects a line with points S, R, W at point R. Another line extends from point R to point U between angle T, R, V. Angle V R W is (3 x) degrees and angle T R S is (2 x + 18) degrees.
What is m∠SRW?

18
54
126
108


Sagot :

Answer:

m∠SRW = [tex]126^{o}[/tex]

Step-by-step explanation:

Given: <VRW = 3x

          <TRS = (2x + 18)

What is m∠SRW?

<TRS = <VRW (vertically opposite angles)

2x + 18 = 3x

18 = 3x - 2x

x = 18

<VRW = 3x = 3 x 18 = [tex]54^{o}[/tex]

<TRS = (2x + 18) = 92 x 18 + 18)

           = [tex]54^{o}[/tex]

Also,

<TRV = <SRW (vertically opposite angles)

So that,

<TRU + <URV = <SRW

But,

<TRV + <SRW + <TRS + <VRW = [tex]360^{o}[/tex]

<TRV + <SRW +  [tex]54^{o}[/tex] +  [tex]54^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW + [tex]108^{o}[/tex] = [tex]360^{o}[/tex]

<TRV + <SRW = [tex]360^{o}[/tex] -  [tex]108^{o}[/tex]

<TRV + <SRW = [tex]252^{o}[/tex]

2 <SRW = [tex]252^{o}[/tex]    (∵ <TRV = <SRW)

<SRW = [tex]\frac{252}{2}[/tex]

           = [tex]126^{o}[/tex]

Therefore,

m<SRW = [tex]126^{o}[/tex]

Answer:

short answer its 126 so C.

Step-by-step explanation:

THIS IS FOR FUTURE PPL ON EDGE 2022!! JUST HAD IT

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.