The ratio of the angles ∠A and ∠B of a non-square rhombus ABCD is 4 : 5, then the value of ∠C is
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Answered by
2
The answer is 80 degrees
9x=180
x=20
A=C=20*4=80
9x=180
x=20
A=C=20*4=80
Answered by
5
the ratio of angle A and angle B is 4:5
let the angle A be 4q
then angle b be 5q
now angle A= angle C ---------------opposite angle of rhombus are equal
and angle B= angle D ---------------opposite angle of rhombus are equal
since ABCD is a rhombus
So Angle A+B+C+D=360
4q+5q+4q+5q=360
18q=360
q=20
hence angle c is 80
let the angle A be 4q
then angle b be 5q
now angle A= angle C ---------------opposite angle of rhombus are equal
and angle B= angle D ---------------opposite angle of rhombus are equal
since ABCD is a rhombus
So Angle A+B+C+D=360
4q+5q+4q+5q=360
18q=360
q=20
hence angle c is 80
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