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28 Sep 2017, 23:47
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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%
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Question Stats:
96% (00:38) correct
4%
(01:19)
wrong
based on 47
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If the degree measures of the four angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4, what is the degree measure of the largest angle?
(A) 36
(B) 90
(C) 144
(D) 160
(E) 180
(A) 36
(B) 90
(C) 144
(D) 160
(E) 180
29 Sep 2017, 15:59
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Bunuel
To find the degree measure of the largest angle, take the ratio of the angles, sum the ratio's parts, and find the multiplier.
Angles' ratio: 1x: 2x: 3x: 4x
Add them
Ratio parts' total: 10x
The sum of the interior angles of a quadrilateral is 360 degrees. (Sum of interior angles of a polygon, where n is number of sides, is (n- 2) * 180 degrees)
10x = 360
x = 36, the multiplier in degrees
The largest angle is 4x
(4)(36°) = 144°
Answer C
30 Sep 2017, 00:58
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Bunuel
Sum of the ratio numbers = 1+2+3+4 = 10 which is actually equal to 360 degrees (sum of angles in a quadrilateral)
Since 10 = 360 degrees
so biggest of four angles 4 = (360/10)*4 = 144 degrees
answer:Option C
