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13 Jul 2018, 00:11
Kudos
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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:
25%
(medium)
Question Stats:
73% (01:15) correct
27%
(01:46)
wrong
based on 73
sessions
History
Date
Time
Result
Not Attempted Yet
The measures of two angles of a parallelogram differ by 52 degrees. The number of degrees in the smaller angle is
(A) 38
(B) 52
(C) 64
(D) 76
(E) 128
(A) 38
(B) 52
(C) 64
(D) 76
(E) 128
13 Jul 2018, 00:21
Kudos
Bookmarks
Bunuel
Let x and y are the measure two adjacent angles of the parallelogram, So the measure of the 4 angles of parallelogram are x,y,x, and y in cyclic order.
Given x-y=52 degree----(1)
We know, sum of adjacent angles in a parallelogram is 180.
So, x+y=180.------(2)
Solving (1) & (2) , we have
x=116 degree & y=64 degree.
So, the measure of smallest angle is 64 degree.
Ans. (C)
13 Jul 2018, 00:21
Kudos
Bookmarks
Bunuel
Let, the angles be a and b
a + a+ b+ b = 360
a + b = 180 --> (1)
Given,
a - b = 52 --> (2)
Solving (1) and (2), we get a = 116 (larger)
b = 64 (smaller)
Hence, C.
