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# In the figure below, does r = t?

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Senior RC Moderator
Joined: 02 Nov 2016
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In the figure below, does r = t?  [#permalink]

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22 Jan 2018, 11:50
1
1
00:00

Difficulty:

75% (hard)

Question Stats:

45% (01:54) correct 55% (02:06) wrong based on 41 sessions

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In the figure above, does r = t?

(1) The length of AB plus the length of AC equals the length of BC plus the length of CD.
(2) u = s + t.

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Re: In the figure below, does r = t?  [#permalink]

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22 Jan 2018, 14:21
Given => AC = CD

[1] : AB + AC = BC + CD OR AB = BC ( as AC = CD) : so angle r = angle t ( angles opposite to equal sides are equal)

[2] : s + t = u and we know r + s = u( exterior angle is sum of two opposite interior angle) hence r = t

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Re: In the figure below, does r = t?   [#permalink] 22 Jan 2018, 14:21
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