9514 1404 393
Answer:
- DC = 16
- ∠DCB = 120°
- EB = 10.2
- ∠ADC = 60°
- ∠ABE = 17°
Step-by-step explanation:
The figure is a parallelogram, so ...
AB ≅ DC = 16
Opposite angles are congruent, so ...
∠DAB ≅ ∠DCB = 120°
The diagonals cross at their midpoints, so ...
ED ≅ EB = 10.2
Adjacent angles in a parallelogram are supplementary, so ...
180° -∠DAC = 180° -120° = ∠ADC = 60°
The sum of angles in ∆ABD is 180°, so ...
180° -120° -43° = ∠ABE = 17°
