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If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?

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If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?  [#permalink]

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New post 28 Jul 2017, 00:55
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Re: If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?  [#permalink]

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New post 28 Jul 2017, 01:08
Bunuel wrote:
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If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?

(A) 140
(B) 120
(C) 110
(D) 100
(E) 80


Attachment:
2017-07-28_1147_001.png


TSW = 1.5 t

t + 1.5t + 2t = 180
4.5 t = 180
t = 40
2t = WSR = 80
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Re: If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?  [#permalink]

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New post 28 Jul 2017, 01:24
Bunuel wrote:
Image
If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?

(A) 140
(B) 120
(C) 110
(D) 100
(E) 80


Attachment:
2017-07-28_1147_001.png


Method 1: From the diagram; \(∠TSR + t° = 180°\)

Given; \(∠TSR = 3.5t°\)

\(3.5t° + t° = 180 = > 4.5t° = 180\)

\(t° = \frac{180}{4.5} = 40°\)

\(∠WSR = 2t° = 2*40 = 80°\)

Method 2: \(∠TSR = ∠TSW + ∠WSR\)

\(∠TSR = 3.5t°\)

\(∠WSR = 2t°\)

\(∠TSW = 3.5t° - 2t° = 1.5t°\)

\(t° + 1.5t° + 2t° = 180°\)

\(4.5t° = 180°\)

\(t° = \frac{180}{4.5} = 40°\)

\(∠WSR = 2t° = 2*40 = 80°\)

Answer (E)...
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Re: If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?   [#permalink] 28 Jul 2017, 01:24
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