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# In the figure above, three angles with degree measures r, s, t are gro

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Math Expert
Joined: 02 Sep 2009
Posts: 55271
In the figure above, three angles with degree measures r, s, t are gro  [#permalink]

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28 Jul 2017, 01:07
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In the figure above, three angles with degree measures r, s, t are grouped together to form angles X (r + s + t), Y (r + s) and Z (s + t). Which of the following is the sum of the degree measures of angles X, Y and Z?

(A) r + 2s + t
(B) 2r + 3s + t
(C) 2r + 3s + 2t
(D) 3r + 2s + 3t
(E) 3r + 3s + 3t

Attachment:

2017-07-28_1148_002.png [ 4.94 KiB | Viewed 957 times ]

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Re: In the figure above, three angles with degree measures r, s, t are gro  [#permalink]

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28 Jul 2017, 02:42
Bunuel wrote:

In the figure above, three angles with degree measures r, s, t are grouped together to form angles X (r + s + t), Y (r + s) and Z (s + t). Which of the following is the sum of the degree measures of angles X, Y and Z?

(A) r + 2s + t
(B) 2r + 3s + t
(C) 2r + 3s + 2t
(D) 3r + 2s + 3t
(E) 3r + 3s + 3t

Attachment:
2017-07-28_1148_002.png

It should be C

Adding up instances of smaller angles in the collective sum. $$(r + s + t + r + s + s + t)$$ --> $$2r + 3s + 2t$$
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Joined: 13 Apr 2017
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Location: India
GMAT 1: 660 Q40 V41
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Re: In the figure above, three angles with degree measures r, s, t are gro  [#permalink]

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30 Jul 2017, 06:29
Add X,Y and Z = 2r+3s+2t
Re: In the figure above, three angles with degree measures r, s, t are gro   [#permalink] 30 Jul 2017, 06:29
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