Nigee4545
Answered

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 if angle RZT=110, angle RZS=3s, and angle TZS=8s, what are angle RZS and angle TZS?

Sagot :

8s-3s=5s
5s=110
Divide both sides by 5 => s=22
RZS = 3s = 3(22) = 66
TZS= 8s = 8(22) = 176

From the given information , the angles RZS and angle TZS are

m<RZS=30°

m<TZS=80°

Given :

angle RZT=110, angle RZS=3s, and angle TZS=8s

From the given information we can see that

[tex]m<RZT=m<RZS+m<TZS[/tex]

Substitute the given values and solve for 's'

[tex]m<RZT=m<RZS+m<TZS\\110=3s+8s[/tex]

Combine like terms

[tex]110=11s\\Divide \; by \; 11\\s=10[/tex]

Substitute the value s=10 to find angles RZS  and TZS

[tex]m<RZS=3s=3(10)=30\\m<TZS=8s=8(10)=80[/tex]

m<RZS=30°

m<TZS=80°

Learn more : brainly.com/question/10894347

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