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09 May 2019, 02:31
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:09) correct
18%
(00:46)
wrong
based on 104
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, if AC = CD, then x =
A. 105
B. 120
C. 135
D. 150
E. 165
Attachment:
2019-05-09_1330.png [ 11.43 KiB | Viewed 2562 times ]
09 May 2019, 07:32
Kudos
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This is a very simple problem which tests you on your knowledge of basic properties of a triangle. There are three properties that you should be able to apply in this question:
Now, let’s solve the question.
In triangle ACD, AC = CD. Hence, ∠ ADC = ∠ DAC.
Also, since ∠ ACB = 30 degrees , ∠ACD = 150 degrees.
Therefore, ∠ ADC = ∠ DAC = (180 – 150) / 2 = 15 degrees .
Now, x = 180 - 15 = 165 degrees
Therefore, the correct answer option is E.
If you are strong with the basic concepts in Geometry, such questions can very easily be answered within 30 to 45 seconds, including verifying your answer once. And you SHOULD BE fast with such easy questions so that you can allocate the time that you saved here, to a harder question.
Hope that helps!
Arvind,
CrackVerbal Prep Team
- Sum of the interior angles of a triangle = 180 degrees
Exterior angle of a triangle = Sum of non-adjacent opposite interior angles
Angles opposite to equal sides are equal
Now, let’s solve the question.
In triangle ACD, AC = CD. Hence, ∠ ADC = ∠ DAC.
Also, since ∠ ACB = 30 degrees , ∠ACD = 150 degrees.
Therefore, ∠ ADC = ∠ DAC = (180 – 150) / 2 = 15 degrees .
Now, x = 180 - 15 = 165 degrees
Therefore, the correct answer option is E.
If you are strong with the basic concepts in Geometry, such questions can very easily be answered within 30 to 45 seconds, including verifying your answer once. And you SHOULD BE fast with such easy questions so that you can allocate the time that you saved here, to a harder question.
Hope that helps!
Arvind,
CrackVerbal Prep Team
19 Sep 2023, 08:13
Kudos
Bookmarks
Bunuel
Attachment:
2019-05-09_1330.png [ 12.1 KiB | Viewed 957 times ]
Again, ∠CDA + ∠DAC = 180° - 150° = 30°
Since, ∠CDA = ∠DAC
Thus, ∠CDA = ∠DAC = 15°
Hence, x = 180° - 15° = 165°, Answer must be (E)
