In a diagram, $O$ is the center of the circle. Calculate the value of $a$ .

43^{o}

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53^{o}

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63^{o}

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33^{o}

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Solution

The correct option is A $43^{o}$
All inscribed angles subtended by a semicircle are right angles $90^{o}$
So, the sum of the triangle, $180 = 47 + 90 + a$
$180 - 137 = a$
$∠ a = 43^{o}$

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In a diagram, O is the center of the circle. Calculate the value of a.

The correct option is A 43oAll inscribed angles subtended by a semicircle are right angles 90oSo, the sum of the triangle, 180=47+90+a180−137=a∠a=43o

In a diagram, $O$ is the center of the circle. Calculate the value of $a$ .

The correct option is A $43^{o}$
All inscribed angles subtended by a semicircle are right angles $90^{o}$
So, the sum of the triangle, $180 = 47 + 90 + a$
$180 - 137 = a$
$∠ a = 43^{o}$