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.
The wood is 10 inches and you're cutting it into 1/2 pieces, so divide 10 by 1/2, which is 20, The carpenter can cut 20 dowels.
The question is too general....but it could be acute, obtuse