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27 Oct 2020, 06:15
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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:
96% (01:18) correct
4%
(00:10)
wrong
based on 27
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, what is the value of x?
A. 121
B. 123
C. 125
D. 127
E. 129
Attachment:
1.png [ 18.14 KiB | Viewed 1277 times ]
27 Oct 2020, 07:54
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Bunuel
Refer to the figure below
x = \(\angle{COD} + \angle{CDO}\)(Exterior angle of a triangle is equal to sum of the opposite interior angles)
In triangle AOB, \(\angle{AOB}\) = 180 - 24 - 89 = 67 (Sum of angles of a triangle = 180
\(\angle{AOB} = \angle{DOC}\) (Vertically opposite angles are equal
x = 67 + 62 = 129
Option E
Arun Kumar
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Triangle.jpg [ 321.39 KiB | Viewed 1121 times ]
27 Oct 2020, 08:14
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We have a triangle with 24 and 89 degree angles. Its three angles sum to 180, so the missing angle in the middle is 67 degrees. We have an X-pattern in the middle, so we also have a 67 degree in the middle of the righthand triangle. But now we know two angles, 67 and 62, in the righthand triangle, and the third angle must be 51 degrees. That 51 degree angle makes a line with angle x, so x + 51 must be 180, and x = 129.
