Question

TO FIND X

ANSWER IS X=66'


TO KNOW THE PROCESS

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Answer 1

Answer:

Step-by-step explanation:

In the given circle,

By the special case of the theorem that an arc subtends half the angle at the centre at any point on the circle.

Therefore, in this case,

180 degree (angle at centre ) = 2* Y ( angle at any point on the circle)

Note: Y is the angle other than X and 24 degree

=> Y = 180/2 = 90 degree

Or by the fact that a semicircle subtends a 90 degree angle at any point on the circle.

Y = 90 degree

By angle sum,

24 + X + Y = 180

X + 24 + 90 = 180

X + 114 = 180

X = 180 - 114

X = 66 degree

Hence, proved that X = 66 degree

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Answer 2

Step-by-step explanation:

66°

hope it will be helpful to you