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In the drawing above, if AC = CD, then
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03 Jun 2023, 00:02
03 Jun 2023, 00:02
Expert Reply
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GRE In the drawing above.jpg [ 11.44 KiB | Viewed 1211 times ]
In the drawing above, if AC = CD, then r =
A. 45 − s
B. 90 − s
C. s
D. 45 + s
E. 60 + s
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Re: In the drawing above, if AC = CD, then
[#permalink]
05 Jun 2023, 04:00
05 Jun 2023, 04:00
Expert Reply
OE
First of all, we’re
told that AC and CD are equal, which means that ACD is an isosceles
right triangle. So both angles A and D have to be 45 degrees. Now it’s
Plugging In time. The smaller angles, r and s, must add up to 45
degrees, so let’s make r = 40 degrees and s = 5 degrees. The question
asks for the value of r, which is 40, so that’s our target answer. Now
eliminate answer choices by plugging in 5 for s.
(A) 45 − 5 = 40. Bingo! Check the other choices to be sure.
(B) 90 − 5 = 85. Nope.
(C) 5. Nope.
(D) 45 + 5 = 50. Eliminate it.
(E) 60 + 5 = 65. No way.
First of all, we’re
told that AC and CD are equal, which means that ACD is an isosceles
right triangle. So both angles A and D have to be 45 degrees. Now it’s
Plugging In time. The smaller angles, r and s, must add up to 45
degrees, so let’s make r = 40 degrees and s = 5 degrees. The question
asks for the value of r, which is 40, so that’s our target answer. Now
eliminate answer choices by plugging in 5 for s.
(A) 45 − 5 = 40. Bingo! Check the other choices to be sure.
(B) 90 − 5 = 85. Nope.
(C) 5. Nope.
(D) 45 + 5 = 50. Eliminate it.
(E) 60 + 5 = 65. No way.
gmatclubot
Re: In the drawing above, if AC = CD, then [#permalink]
05 Jun 2023, 04:00
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