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If 30 < a < 64, which of the following could be the value of
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06 May 2020, 09:50
06 May 2020, 09:50
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If \(30 < a < 64\), which of the following could be the value of \(b + d\) ?
Indicate all such values.
A. 32
B. 108
C. 147
D. 232
E. 247
F. 289
G. 328
Re: If 30 < a < 64, which of the following could be the value of
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06 May 2020, 23:01
06 May 2020, 23:01
2
Since opposite angles are equal, a = c.
We're given that 30<a<64, thus, a can range from 31 to 63.
Thus, a+c = 31+31 = 62 or a+c = 63+63 = 126.
The complete angle formed by a, b, c, d is 360.
Thus, 360-62 = 298 and 360-126= 234.
From the given options, only E and F satisfy the condition.
We're given that 30<a<64, thus, a can range from 31 to 63.
Thus, a+c = 31+31 = 62 or a+c = 63+63 = 126.
The complete angle formed by a, b, c, d is 360.
Thus, 360-62 = 298 and 360-126= 234.
From the given options, only E and F satisfy the condition.
Re: If 30 < a < 64, which of the following could be the value of
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06 May 2020, 23:31
06 May 2020, 23:31
1
30 < a < 64
=> 60 < a+c < 124 (because a = c as they are opposite angles)
=> 360 - 124 < 360 - (a+c) < 360 - 60
=> 232 < b+d < 300 (because a+b+c+d = 360)
So, the answers are E and F.
=> 60 < a+c < 124 (because a = c as they are opposite angles)
=> 360 - 124 < 360 - (a+c) < 360 - 60
=> 232 < b+d < 300 (because a+b+c+d = 360)
So, the answers are E and F.
