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# In the figure above, if what is the value of r ?

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GRE Prep Club Legend
Joined: 07 Jun 2014
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GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 1975 [0], given: 397

In the figure above, if what is the value of r ? [#permalink]  06 Jun 2016, 17:55
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Question Stats:

93% (01:03) correct 6% (03:25) wrong based on 30 sessions
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#GREpracticequestion In the figure above.jpg [ 6.39 KiB | Viewed 821 times ]

In the figure above, if $$\frac{r}{(r+s)}=\frac{5}{8}$$ what is the value of r ?

112.5

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Question: 13
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Sandy
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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 [0], given: 397

Re: In the figure above, if what is the value of r ? [#permalink]  06 Jun 2016, 18:03
Expert's post
Explanation

From the figure, note that r° + s° must equal 180°. Therefore $$\frac{r}{(r+s)}=\frac{r}{180}$$. Since you are also given in the question that $$\frac{r}{(r+s)}=\frac{5}{8}$$, you can conclude that $$\frac{r}{180}=\frac{5}{8}$$. Thus $$r = \frac{5*180}{8} = 112.5$$, and the correct answer is 112.5.
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Sandy
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Director
Joined: 09 Nov 2018
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Kudos [?]: 31 [1] , given: 1

Re: In the figure above, if what is the value of r ? [#permalink]  20 Jan 2019, 19:19
1
KUDOS
$$\frac{r}{(r+s)}=\frac{5}{8}$$
$$\frac{r}{(180)}=\frac{5}{8}$$
$$r=\frac{5*180}{8}$$
r=112.5
Re: In the figure above, if what is the value of r ?   [#permalink] 20 Jan 2019, 19:19
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