Question

two adjacent angle of a rhombus are in the ratio 4 is to 5 find the measure of all its angle

Answer 1

If the ratio of adjecent angles is 4:5

Then,

Let the angles be 4x and 5x respectively

Since the sum of adjacent angles in a parallelogram is 180

Then,

4x + 5x = 180

9x = 180

x = 180/ 9

x = 20

Therefore,

4x = 4* 20

= 80 degrees

5x = 5 * 20

= 100 degrees

And the opposite angles in a parallegram are equal therefore

Angles opposite to 80 will be 80 degree

And angle opposite to 100 will be 100 degree