Question

3. The diagonals of a rhombus ABCD intersect at O.
If ZDAB = 130° and OA = 8 cm, find the measure of
a) ZABC
b) AC
plz give in writen plz​

Answer 1

Answer:

Step-by-step explanation:

∠DAB=130° AND ∫OA=8cm   - GIVEN

∴∠ABC+∠DAB=180°      [ADJACENT ANGLES OF RHOMBUS IS                SUPPLEMENTARY]

∴∠ABC+130°=180°

∴∠ABC=180°-130°

             =50°

∴∠ABC=50°

OA=8CM

∴AC=2×8   [DIAGONALS OF RHOMBUS BISECT EACH OTHER]

∴AC=16CM