Question

Two numbers are in the ratio 4:5. If the sum of the numbers is 180. What is the larger number?

Answer 1

Answer:

A parallelogram, being a quadrilateral has four interior angles. The neighbouring angles here are consecutive angles. A diagonal splits a vertex angle into the two; those are the adjacent angles.

Two consecutive angles are supplements; one acute, the other obtuse.

By data, they are in the ratio of 4:5 = 4x:5x.

So, 4x+5x = 180°

9x = 180°

x = 20°

4x = 80° and 5x = 100°

Hence, the consecutive angles in the parallelogram are 80° and 100°....

_______________________________.

Answer 2

Step-by-step explanation:

let the both numbers be 4x and 5x

therefore

4x + 5x = 180

9x = 180

x. = 180/9

x. = 20

4x = 4*20

= 80

5x. = 5*20

= 100

100 is greater than 80

so the larger no. is 100