in parallelogram ABCD , angleA =3 times angle B.Find all the angles of the parallelogram.In the same parallelogram , if AB= 5x - 7 and CD = 3x + 1; find the length of CD.
Answers
Answered by
10
let angle B=x. Therefore angle A=3x. Angle A + angle B=180.{ co-interior angles}.
x+3x=180.
4x=180
x=180/4
x=45
Angle A=x=45
Angke B=3x=3*45=135
Angle C=Angle A=45 {opposite angles of a //gm are equal}
Angle D=Angle B=135
AB=CD {OPPOSITE SIDES OF A //gm are EQUAL}
5x-7=3x+1
5x-3x=1+7
2x=8
x=8/2
x=4
CD=3x+1=3*4+1=12+1=13
x+3x=180.
4x=180
x=180/4
x=45
Angle A=x=45
Angke B=3x=3*45=135
Angle C=Angle A=45 {opposite angles of a //gm are equal}
Angle D=Angle B=135
AB=CD {OPPOSITE SIDES OF A //gm are EQUAL}
5x-7=3x+1
5x-3x=1+7
2x=8
x=8/2
x=4
CD=3x+1=3*4+1=12+1=13
Answered by
1
Answer:
that's the answer
Step-by-step explanation:
CD=13
Similar questions