In the following figure, $∠ B = 35^{o}$ , what is the angle $A$ ?

35^{o}

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45^{o}

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55^{o}

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65^{o}

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Solution

The correct option is C $55^{o}$
The triangle inside the circle is right angled triangle, so $∠ C = 90^{o}$
Sum of the triangle $= 90 + 35 + x = 180$
$125 + x = 180$
$x = 180 - 125$
$x = 55^{o}$
So, the value of angle $A$ is $55^{o}$

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