Question

Which two theorems would justify that m∠4 = m∠6, given that m∠5 = m∠6 in the diagram below?


vertical angles theorem, consecutive interior angles theorem
corresponding angles theorem, angle addition theorem
right angles theorem, exterior angles theorem
vertical angles theorem, alternate interior angles theorem

Answer 1

Answer: D) vertical angles theorem, alternate interior angles theorem

Angle 5 = Angle 6 by the alternate interior angles theorem

Angle 5 = angle 4 by the vertical angles theorem

By the transitive property, we can then say angle 4 = angle 6. These angles are also corresponding angles.

We won't use the angle addition theorem or the right angles theorem.

Answer 2

Answer:

D

Step-by-step explanation: