In $△ A B C$ , $B C = A C$ and $∠ B = 64^{0}$ , find $∠ C$

64^{0}

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52^{0}

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80^{0}

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116^{0}

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Solution

The correct option is A $52^{0}$
In $△ A B C$ ,
$B C = A C$
$∠ B = ∠ A = 64^{\circ}$ (Isosceles triangle property)
Sum of angles = 180
$∠ A + ∠ B + ∠ C = 180$
$64 + 64 + ∠ C = 180$
$∠ C = 52^{\circ}$

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In △ABC, BC=AC and ∠B=640, find ∠C

The correct option is A 520In △ABC,BC=AC ∠B=∠A=64∘ (Isosceles triangle property)Sum of angles = 180∠A+∠B+∠C=18064+64+∠C=180∠C=52∘

In $△ A B C$ , $B C = A C$ and $∠ B = 64^{0}$ , find $∠ C$

The correct option is A $52^{0}$
In $△ A B C$ ,
$B C = A C$
$∠ B = ∠ A = 64^{\circ}$ (Isosceles triangle property)
Sum of angles = 180
$∠ A + ∠ B + ∠ C = 180$
$64 + 64 + ∠ C = 180$
$∠ C = 52^{\circ}$