Two adjacent angles on a straight line are in the ratio 5:4. Find the

1.	Two adjacent angles on a straight line are in the ratio 5:4. Find the measure of each one of these angles.
Answer» Consider the two adjacent angles as 5x and 4x. We know that the two adjacent angles form a linear pair So it can be written as 5x + 4x = 180^o On further calculation 9x = 180^o By division x = 180/90 x = 20^o Substituting the value of x in two adjacent angles 5x = 5 (20)^o = 100^o 4x = 4 (20)^o = 80^o Therefore, the measure of each one of these angles is 100^o and 80^o

Two adjacent angles on a straight line are in the ratio 5:4. Find the measure of each one of these angles.

Answer»

Consider the two adjacent angles as 5x and 4x.

We know that the two adjacent angles form a linear pair

So it can be written as

5x + 4x = 180^o

On further calculation

9x = 180^o

By division

x = 180/90

x = 20^o

Substituting the value of x in two adjacent angles

5x = 5 (20)^o = 100^o

4x = 4 (20)^o = 80^o

Therefore, the measure of each one of these angles is 100^o and 80^o