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4] 100°
Step-by-step explanation:
∠DAB+∠DCB = 180° (given)
∴∠DCB = 180-∠DAB
∠DCB = 180-(∠DAE+30) (∠DAB =∠DAE+30)
∠DCB = 180-30-∠DAE
∠DCB = 150-∠DAE
∠DCB+10 = 150-∠DAE+10 (adding 10 to both sides)
∠DCE = 160-∠DAE (∠DCE =∠DCB+10)
∠DCE = 160-∠DCE (Opposite angles of parallelogram are same)
2∠DCE = 160
∠DCE = 80
Now,
∠DCE+∠AEC = 180° (Adjacent angles of parallelogram are supplementary)
∠AEC = 180-80
∠AEC =100
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