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Equal Angles Subtend Equal Sides

ABC is a righ...

Question

$A B C$ is a right angled triangle is which $∠ A = 90^{o}$ and $A B = A C$ . Find $∠ B$ and $∠ C$ .

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Solution

$\begin{matrix} G i v e n ∠ A = 90^{0} a n d A B = A C tan θ_{1} = \frac{A B}{A C} = \frac{A C}{A C} θ_{1} = 45^{0} θ_{1} + θ_{2} + 90^{0} = 180^{0} θ_{2} = 45^{0} θ_{1} = θ_{2} = 45^{0} ∠ B = 45^{0} ∠ C = 45^{0} \end{matrix}$

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