Question

State the property used in each of the following statements in context of the figure given here

If $\angle 9=\angle 10$ then $a\parallel b$.

Answer 1

If two lines are cut by a transversal and corresponding angles are equal then two lines are parallel.

Since, $\angle 9=\angle 10$ and both are corresponding angles.

Hence, lines $a$ and $b$ must be parallel.