(C) 1932
(D) 1776
Two angles of a quadrilateral are 36%
and 90° and the remaining two angles
differ by 18". Find the ratio of the
smallest angle to the largest angle of
the quadrilateral.
A) 1:3
(B) 3:7
C) 2:9
(D) 2:7
Answers
Answered by
0
Answer:
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Step-by-step explanation:
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Answered by
1
Answer:
see as we all know that sum of all angles o of a quadrilateral is 360°
now let the other two angles be x and y.
therefore,
90°+36°+x+y=360°
x+y=360°-126°
x+y=234°
....
Hence u got two equation i.e
x-y=18° ( given ). -(1)
x+y=234°. -(2)
Now,
subtracting equation (1) and (2) we get,
x-y - (x+y) = 18° - 234°
x-y-x-y = -216°
-2y = -216
y=216/2
y=108°
substituting this value of y in equation (1) we get
x-108=18
x=18+108
x=126°
Since the smallest angle we found is 36° and the largest angle we found is 126°
Hence , finding the ratio of the smallest angle to the largest angle of the quadrilateral...
36°/126°
we get 2:7.
HENCE THE ANSWER IS 2:7.
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