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

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Joined: 02 Sep 2009
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If angle TSR = 3.5t°, what is the degree measure of ∠ WSR?  [#permalink]

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28 Jul 2017, 00:55
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86% (01:09) correct 14% (00:00) wrong based on 11 sessions

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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 [ 7.03 KiB | Viewed 914 times ]

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

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28 Jul 2017, 01:08
Bunuel wrote:

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

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28 Jul 2017, 01:24
Bunuel wrote:

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: $$∠TSR = ∠TSW + ∠WSR$$

$$∠TSR = 3.5t°$$

$$∠WSR = 2t°$$

$$∠TSW = 3.5t° - 2t° = 1.5t°$$

$$t° + 1.5t° + 2t° = 180°$$

$$4.5t° = 180°$$

$$t° = \frac{180}{4.5} = 40°$$

$$∠WSR = 2t° = 2*40 = 80°$$

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