Question

Given that rls and q is a transversal, we know that ∠3 ≅ ∠6 by the
corresponding angles theorem
alternate interior angles theorem
vertical angles theorem
alternate exterior angles theorem​

Answer 1

The answer is alternate interior angle theorem.

Explanation: the two angles 3 and 6 are both in the inside and they are opposite sides of each other. Hope I helped!

Answer 2

Line r is parallel to line s, while line q is the transversal, hence ∠3 ≅ ∠6 by alternate interior angles

What is an angle?

An angle is formed when two or more lines intersect at a point. Types of angles are acute, obtuse, right angled

When two parallel lines are cut by a transversal, alternate interior angles are formed which are congruent

Hence:

∠3 ≅ ∠6 (alternate interior angles)

Line r is parallel to line s, while line q is the transversal, hence ∠3 ≅ ∠6 by alternate interior angles

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