Question

In fig.8.8,find x and y .Is triangle ABC isosceles? If so name it’s equal sides.

Answer 1

Answer:

In the above pic

Step-by-step explanation:

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Answer 2

Given :

• ∠BAC = 40°
• ∠XBA = 110°

To find :

• The value of x and y.

According to the question,

⇒ ∠XBA + ∠ABC = 180°

Reason : Linear pair

⇒ 110° + ∠ABC = 180°

⇒∠ABC = 180° - 110°

⇒∠ABC = 70°

Now,

In △ABC,

⇒ ∠ABC + ∠BAC + ∠BCA = 180°

⇒ 70° + 40° + ∠BCA = 180°

⇒ 110° + ∠BCA = 180°

⇒ ∠BCA = 180° - 110°

⇒ ∠BCA = 70°

So,

• x = 70°
• y = 70°

Hence,

• AB and AC are two equal sides. So, △ABC is an isosceles triangle.

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