AskQ logo

STUCK ON HOMEWORK?

ASK FOR HELP FROM OUR KIASUPARENTS.COM COMMUNITY!

Question

Answer

∠BAD = 36º * 2 = 72º                Cross line bisect Rhombus interior angle

∠ABC = 180º – 72º = 108º         Sum of adjacent angles in parallelogram equal 180º

∠ABO = 108º/2 = 54º

∠DOC = ∠AOB = 180º – ∠BAO – ∠ABO = 180º – 36º – 54º = 90º

0 Replies 1 Like

∠BCO = 36° (AB=BC, isoceles triangle)
∠ACD = 36° (alternate angle, AB parallel to DC)
∠ODC = (180-36-36)/2 = 54° (sum of angles in triangle BCD, BC=CD)
∠DOC = 180-54-36 = 90° (sum of angles in triangle OCD)

0 Replies 2 Likes