In a trapezium sum of a pair of opposite angles (A and B) is 180 degree. If one other angle (C) is h

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13 Feb 2013 geometry

In a trapezium sum of a pair of opposite angles (A and B) is 180 degree. If one other angle (C) is half the remaining angle (D). Then difference of C and D is

OPtion

1) 45
2) 30
3) 15
4) 60
5) 75
6) 90
7) 120
8) 135
9) 35
10) none of these

Solution

let C = x so D = 2x
x+2x = 180
so x = 60 and 2x = 120
so difference = 120-60 = 60

Correct Option: 4 Best Solution (14)

Tijo Jose   12 years AGO

Sum of angles in any quadrilateral is 360 degree.
So, C+D = 180
Given, C = D/2 => D = 2C
So, C+2C = 3C = 180 => C=60 and so,D=120
Therefore, D-C = 60

Like? Yes (4) | No (1)  

sreeparnadey   12 years AGO

the total sum of angles of a trapezium is 360.here A+B=180,D=2C.now,C+D=180=>C+2C=180=>C=60.D=2*60=120.D-C=120-60=60.the answer is 60

Like? Yes (2) | No   

asim   12 years AGO

given:- A+B = 180 deg.
therefore C+D 180 deg.
also C = D/2
hence 3D/2 = 180 i.e. D=120 degree & C = 60 degree
=> D-C = 60

Like? Yes (1) | No   

Ramraj Gour   12 years AGO

a+b+c+d=360
and
a+b=180
then
c+d=180
and d=2c
thenc
c+2c=180
c=60
then
d=120
d-c=60

Like? Yes (1) | No   

Ankit   12 years AGO

c + d = 180
let c is x
then d = 2x
so 3x = 180 => x = 60
c = 60 and d = 120
d - c = 60

Like? Yes (1) | No   

MP    12 years AGO

If c is x , D is 2x, thyen
diff =x
x+2x=180
x=60 deg

Like? Yes (1) | No   

jitendra singh   12 years AGO

c+d=180
d/2+d=180
d=120
c=60

Like? Yes (1) | No   

Rahul Sinha   12 years AGO

A+B=180
Hence, C+D=180
C=1/2D => D=2C
=>3C=180 =>C=60
=> D=120
Hence, D-C=120-60=60.

Like? Yes (1) | No   

Anuj Pansari   12 years AGO

sum of all angles in a polygon is always 360 degree.
=> A+B= 180 degree
then, C+D = 180 degree
given that,
C=D/2,
thus, C = 60 degree and D = 120 degree
difference = 60 degree

Like? Yes (1) | No   

niti   12 years AGO

let D be x..so C =x/2.sum of opposit angle is 180.x+x/2=180. x ie D=120 C=60.difference D-C=60

Like? Yes (1) | No   

Sunil Kumar   12 years AGO

let C=x
D= 2x
x+2x=180
x=60
D-c=60

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ArunKumar   12 years AGO

Sum of the angles of Trapezium = 360
A+B+C+D =360
D +C = 180 ( A+B =180)
D + 2D = 180
D = 60 & c =120
Difference = 60

Like? Yes (1) | No   

Rats   12 years AGO

C+D=180
C=(1/2)D
D=2C
C+2C=180
C=60
D=120
Diff. = 120-60=60

Like? Yes (1) | No (1)  

Vinay Sipani    12 years AGO

C + D = 180 , C = 2D

=> 3D = 180 => D = 60
=> C - D = 60

Like? Yes (1) | No (1)