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Snezhnost [94]
3 years ago
12

B) In the given figure, If AB = AC and < ABC = 65°, Find the value of

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

Answer:

<ACB = 65^{o} and <BAC = 50^{o}

Step-by-step explanation:

The given triangle is an isosceles triangle. Thus its two sides are equal and base angles are equal.

So that;

<ACB = <ABC

<ACB = 65^{o} (property of an isosceles triangle)

Then,

<ABC + <ACB + <BAC = 180^{o}

65^{o} + 65^{o} + <BAC = 180^{o}

130 + <BAC = 180^{o}

<BAC = 180^{o} - 130^{o}

          = 50^{o}

<BAC = 50^{o}

Thus, <ACB = 65^{o} and <BAC = 50^{o}.

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