Question

In parallelogram ABCD, Angle A Is 3 times angle B. Find all sides of the parallelogram. In same parallelogram if AB is 5x-7 and CD is 3x+1 Find length of CD​. Pls answer me quickly

Answer 1

Angles:

3*a=b

angles a+b = 180 (adjacent angles)

=3a+3a (substitute b) =180

=6a=180

=a=180/6

=a=30degrees

since a=30 b= 3(30) = 90 degrees

Sides:

AB= 5x-7  CD= 3x+1

In parallelogram opposite sides are equal

so  AB=CD

= 5x-7=3x+1

=5x-3x = 1+7

=2x = 8

x=4

CD = 3x+1

=3(4) + 1

=12+1

=13cm