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Question

In ΔABC,AB=AC and A:B=4:3. Find the measure of C.

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Solution

As we know that in a triangle sum of all the interior angles is 180.
So,
A+B+C=180 .....(1)

Given that:
Since, A:B=4:3

hence,
A=4x,B=3x

Since,AB=AC

Hence,
C=B=3x

Now,
Substituting the values of A,B,C in equation (1), we get-
4x+3x+3x=180
10x=180

x=18

Hence, C=3×18=57.

996067_1070689_ans_11a5f0d8f1bc47bf8c187707f5c9e56f.png

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