Step-by-step explanation:
For question 30, the first choice is not necessarily true. I attached a picture of what *could* be the parallelogram.
The first choice is true ONLY if the parallelogram is a square.
The second choice is not necessarily true either. It is true ONLY if the parallelogram is a rhombus (a square is also a rhombus, just for reference)
But opposite sides of a parallelogram are always equal
So the answer to question 30 are the first and second choices.
For question 31:
remember what I said about how opposite sides of a parallelogram are always equal? Well opposite angles are also always equal.
So angle BKX = angle BWX = angle XWB = 114 degrees
Angle BKW = angle XWK (using parallel lines) = angle XWB - angle BWK = 114 - 22 = 92 degrees
Angle WBX = angle BXK (using parallel lines too) = angle WXK - angle WXB.
Consecutive angles in a parallelogram add up to 180. So angle WXK + angle XWK = 180. angle WXK = 180 - angle XWK = 180 - 114 = 66 degrees.
angle WDB + angle WBX + angle BWK = 180 because it's a triangle
angle WDB + 66 (just figured it out) + 22 (given) = 180 degrees
angle WDB = 180 - 66 - 22 = 92 degrees
I hope I didn't do anything wrong lol
but I prolly did XD
