Question

In the given fig angle ABD = 70 degree , angle ADB = 30 degree then angle BCD =
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Answer 1

Answer:

∠BCD = 80°

Step-by-step explanation:

Given:

⇒ ∠ABD = 70°

⇒ ∠ADB = 30°

Asked:

∠BCD = ?

Resolution:

We know that,

The sum of measure three angles of a triangle is 180°.

So, let the the ∠BCD be 'x',

Therefore,

∠ABD + ∠ADB + ∠BCD = 180°

⇒ 70° + 30° + x = 180°

⇒ 100° + x = 180°

⇒ x = 180° - 100°

⇒ x = 80°

= ∠BCD = 80°

Verification:

The sum of measure three angles of a triangle is 180°.

∠BCD = 80°

∠ABD + ∠ADB + ∠BCD = 180°

⇒ 70° + 30° + 80° = 180°

⇒ 180° = 180°

∵Left Hand Side = Right Hand Side ∠BCD = 80°

Hence, ∠BCD = 80°

Answer 2

Answer:

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