Question

The adjacent angles of a parallelogram are in the ratio 4 : 5, then its smallest angle is​

Answer 1

Answer:

Let angles be 4x and 5x

A/Q4x+5x=180(sum of adjacent angles=180)

9x=180

x=20

Hence,It's smallest angle=4x=4×20=80°Ans.

Answer 2

Answer:

If 4:5 is the ratio of the adjacent angles of the given parallelogram, then its smallest angle is 80°

step-by-step explanation:

Given

The ratio of adjacent angles of the parallelogram = 4:5

Let A and B be the adjacent angles where A is the smallest angle

That is If A = 4x, then B = 5x

We know that the aum of adjacent angles of parallelogram = 180°

That is A+B = 180

4x+5x= 180

9x = 180

x = 180/90 = 20

Therefore, A = 4x = 4*20 = 80 degree

B = 5x = 5*20 = 100 degree

So the smallest angle is 80°