Question

Hi there


Two angles of a parallelogram are in the ratio 5:7. If the

bigger angle is halved, what will be the ratio of the angles

of the new parallelogram obtained?

plsssssssss ans

Answer 1

Let the angles of a llgm be 5x and 7x.
so,
5x+7x=180(co interior angle)
12x=180
x=180/12
x=15
As we know first angle of a llgm is 5x
so ..5×15=75°
And also 2nd angle of a llgm is 7x
so......7×15=105°
Now we know the angles of a llgm.

Then if bigger angle is halved(ask in question)then the ratio of angle of new llgm is...
half of bigger angle.....105/2=52.5
Ratio= 75/52.5
=10:9