Question

In a figure DE || BC if angle A= 65° and angle B = 55° find angle ADE, AED and angle C of

Answer 1

Answer:

Step-by-step explanation:

Answer 2

∠ADE = 55°, ∠AED = 60°, and ∠C = 60°

Step-by-step explanation:

Given that,

∠A = 65° and ∠B = 55°

As we know, DE║BC

∠D = ∠B = 55°

So, let ∠E = ∠C = x°

As we know,

∠A + ∠B + ∠C = 180°     (∵ angle sum property)

65° + 55° + x°  = 180°

x = 180° - 120°

x = 60°

∵∠C = ∠E = 60°

Thus, ∠ADE = 55°, ∠AED = 60°, and ∠C = 60°

Learn more: Find the angle C

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