Question : In figure, $\angle \mathrm{ADB}$ is equal to:
Option 1: $40^\circ$
Option 2: $60^\circ$
Option 3: $80^\circ$
Option 4: $50^\circ$
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Correct Answer: $80^\circ$
Solution :
Given, $\angle ECA=20^\circ$, $\angle DCE=30^\circ$ and $\angle DAC=30^\circ$
By exterior angle property,
$\angle ADB=\angle DCA+\angle DAC$
⇒ $\angle ADB=\angle ECA+\angle DCE+\angle DAC$
⇒ $\angle ADB=20^\circ+30^\circ+30^\circ$
⇒ $\angle ADB=80^\circ$
Hence, the correct answer is $80^\circ$.
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