Question

In the given figure, L || M and T is a transversal. If angle 1 and angle 2 are in the ratio 5 : 7 , find the measure of each of the angles 1, 2, 3 and 8​

Answer 1

Step-by-step explanation:

Let the angle be x.

Then, angles will be 5x and 7x.

5x+7x = 180° (Linear pair)

12x = 180°

x= 15°

5x= 5×15=75°

7x= 7×15=105

75°+105°=180°

Angle 1= 75°

Angle 2=105°

Angle 3=75° (Vertically opposite angle)