Question

Does anybody know this? ABCD is a parallelogram BDC=110. Find the following values,

Answer 1

DC = 15 (opposite sides in a parallelogram is parallel and equal to each other)
BC = 18 (the diagonals in a parallogram bisect at their midpoints -> BW = WC = 9 -> BC = 9 + 9 = 18)
angle BAC = 110 (opposite angles are equal to each other)
angle DCA = 70 (consecutive angles add up to 180, angle BAC and angle DCA are consecutive -> 180 - 110 = 70)

Answer 2

see explanation

Explanation:

in a parallelogram]

• opposite sides are congruent

• opposite angles are congruent

• consecutive angles are supplementary , sum to 180°

• diagonals bisect each other

Then

DC = AB = 15

BC = 2 × WC = 2 × 9 = 18

∠ BAC = ∠ BDC = 110°

∠ DCA = 180° - 110° = 70°