Question

triangle ABC and DE//BC , angle A=45৹,angle B =65৹,measures the angle ADE, angle AED and angle c .​

Answer 1

Step-by-step explanation:

∠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°

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