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29 Aug 2018, 01:58
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In the figure above, side AB is parallel to side DE, and the measure of angle D is 40% that of angle E, what is the value of angle A?
A. 20
B. 26
C. 44
D. 46
E. 110
Attachment:
image001 (1).gif [ 851 Bytes | Viewed 5063 times ]
29 Aug 2018, 16:06
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In the figure above, side AB is parallel to side DE, and the measure of angle D is 40% that of angle E, what is the value of angle A?
A. 20
B. 26
C. 44
D. 46
E. 110
Attachment:
image001 (1).gif
Since we have some parallel lines, there are several pairs of equal angles in this diagram.
First of all, ∠E = ∠B. So, ∠E = 110°
Next, since ∠D = 40% of ∠E, we now know that ∠D = 40% of 110%
So, ∠D = 44%
Finally, ∠A = ∠D. So, ∠A = 44°
Answer: D
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29 Aug 2018, 02:01
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Angle E = Angle B = 110
angle d = 0.4*110 = 44
angle d = 0.4*110 = 44
