Question

The measures of two adjacent angles on a straight line are in the ratio 7:5. Find the bigger angle

Answer 1

Let common factor be x

So, by ratio we have

7x+5x=180(linear pair of angles)

12x=180

X=15 degree

So, bigger angle is 105degree

Answer 2

Angle of a straight line = 180°

So, 7x + 5x = 180°

12x = 180°

x = 180 / 12

x = 15

Bigger angle = 7x

= 7 × 15

= 105°

HOPE THIS HELPS !!!