Question

in each of the figure given below two lines l and M are given a transversal is drawn intersecting both the lines verify whether the lines l and M are parallel or not justify your answer ​

Answer 1

Answer + Step-by-step explanation:

By rule of the straight line, we get

56 + 64 + unknown angle = 180

We simplify to get

120 + unknown angle = 180

We subtract 120 from both sides to get

unknown angle = 60

Since the lines are parallel, we know that the angle next to 120 must be 60. Also, the value below 120 must be equal to the opposite angle, which is 60, that means the other angle is equal to 120. That means the angle below 56 is equal to 60 and the angle next to that must be 120. These are our answers.