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17 Aug 2017, 23:50
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
95% (00:39) correct
5%
(01:18)
wrong
based on 64
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, if BC = CA, then y =
(A) 15
(B) 60
(C) 75
(D) 150
(E) 165
Attachment:
2017-08-18_1028_002.png [ 7.2 KiB | Viewed 2433 times ]
18 Aug 2017, 00:23
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In the figure above, if BC = CA, then Angle CBA = BAC = y
Also since the lines intersect at C, Angle BCA = CDE = 30
In a triangle, the sum of the three angles equals 180
2y + 30 = 180
2y = 150
Therefore, y = 75(Option C)
18 Aug 2017, 02:01
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Ans- C
BC= CA
Thus angle A=angle B (Angles oppsite to congruent sides)
BCA=DCE = 30 (vertically opposite angles).
In triangle BAC ,
Angle BCA+ Angle B+ Angle A = 180
30 +2x = 180 . Thus x = 75
BC= CA
Thus angle A=angle B (Angles oppsite to congruent sides)
BCA=DCE = 30 (vertically opposite angles).
In triangle BAC ,
Angle BCA+ Angle B+ Angle A = 180
30 +2x = 180 . Thus x = 75
