Question

In the figure, line L || line M, line a and line b are their transversals. If measures of two angles are as shown in the figure, show that line a || line b.​

Answer 1

Step-by-step explanation:

Given:l∥m

sum of the interior angles on the same side of transversal is 180∘

b+52∘=180∘

⇒b=180∘−52∘=128∘

And a=52∘

∴a=52∘,b=128∘