Question

If the interior angles formed by a transversal on two parallel lines are 8z and 10z respectively , find their measure.​

Answer 1

Question:

If the interior angles formed by a transversal on two parallel lines are 8z and 10z respectively , find their measure.

Answer:

The two angles : 100° & 80°

Method:

8z + 10z = 180° [Interior angles of two parallel lines intersected by a transversal are always supplementary]

18z = 180°

z =$\huge\frac{ 180°}{18}$= 10

One angle = 8z = 8×10 = 80°

Other angle = 10z = 10×10 = 100°