Question

The ratio of the measures of a pair of adjacent angles on a line is 4:5. Find the measures of

the two angles.

Answer 1

given the ratio of two adjacent angles on a straight =5:4

so one angle is =5x and the other angle=4x

we know that two adjacent angles on a straight line always forms a linear pair:

=5x+4x=180degree

=9x=180degree

x=20 degree

therefor one angle =5x=5*20=100

and other angle =4x=4*20=80.

5x=100 degree

4x=80 degree

Step-by-step explanation: