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If Two Angles of a Triangle Are Unequal Then the Side Opposite to the Greater Angle Is Greater Than the Side Opposite to Smaller Angle

In a Δ A B C,...

Question

In a Δ ABC, if ∠A = 120° and AB = AC. Find ∠B and ∠C.

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Solution

In, it is given that

, and

We have to find, and

Since and

Then (as AB = AC)

Now

(By property of triangle)

Thus,

, as (given)

So,

Since,, so

Hence .

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If Two Angles of a Triangle Are Unequal Then the Side Opposite to the Greater Angle Is Greater Than the Side Opposite to Smaller Angle

Standard IX Mathematics

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