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Question
Find the value of x in the following figure.
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Solution
In the given figure, ∠BAC = 80°, ∠ABC = 30°, ∠ACE = x and ∠ECD = 90°
In ΔABC, we know that, exterior angle is equal to the sum of interior opposite angles.
∴ ∠ACD = ∠CAB + ∠ABC
⇒ ∠ACE + ∠ECD = 80° + 30° ...[∵ ∠ACD = ∠ACE + ∠ECD]
⇒ ∠ACE + 90° = 110° ...[∵ ∠ECD = 90°]
⇒ ∠ACE = 110° – 90° = 20°
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