Math, asked by anshikasaxena66, 17 days ago

solve this question with step by step​

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Answered by Anonymous
9

Answer:

∠BCD = 55°

Step-by-step explanation:

The given triangle ABC is an isosceles triangle, since two sides AB and AC are equal to each other.

By using the property of isosceles triangle, we can conclude that ABC = ACB.

Using angle sum property in ABC

⇒ ∠ABC + ∠ACB + ∠BAC = 180°

⇒ ∠ACB + ∠ACB + 42° = 180°

⇒ 2∠ACB = 180° - 42°

⇒ ∠ACB = 138°/2

⇒ ∠ACB = 69°

Now, we can see that ∠ACB consists of ∠ACD and ∠BCD.

⇒ ∠ACB = 69°

⇒ ∠ACD + ∠BCD = 69°

⇒ 14° + ∠BCD = 69°

⇒ ∠BCD = 69° - 14°

⇒ ∠BCD = 55°

Hence the required angle is of 55°.

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