In figure ABCD is a quadrilateral with angle B is 65 degree and angle D is 105 degree.If angle A and angle C are in ratio 3:7 find the value of x and y
Answers
Answered by
11
Answer:
Step-by-step explanation:
let it be 3x and 7y
65+105+3x+7y = 360
170+10x = 360
10x=360-170
x=190\10=19
3x=54
7x=133
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Answered by
14
Answer:
A = 57
C = 133
Step-by-step explanation:
Let the sides which re in ratio be x,
So 3:7 be 3x and 7x.
Also, sum of all sides of a quadrilateral is 360.
According to the question,
A + B + C + D = 360
3x + 65 + 7x + 105 = 360
3x + 7x = 360 - (65 + 105)
10x = 360 - 170
10x = 190
x = 190/10
= 19
Therefore,
A = 3x = 3*19
=57
C = 7x = 7*19
=133
Checking the answer,
A + B + C + D = 360
57 + 65 + 133 + 105 = 360
Hence LHS = RHS
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