In figure 9.39, AB ∥ DE. Find ∠ACD.

Question:

In figure 9.39, AB ∥ DE. Find ∠ACD.

Solution:

Since AB ∥ DE

∴ ∠ABC = ∠CDE = 40° [Alternate angles]

∴ ∠ACB = 180° − ∠ABC − ∠BAC

=180° − 40° − 30°

= 110°

∴ ∠ACD = 180° − 110° [Linear pair]

= 70°

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