Question

Q4. In given figure value of y is
(a) 35
(b) 45
(c) 70
(d) 140
20
a​

Answer 1

Answer:

The angle y in the given figure is 35°.

Step-by-step explanation:

Inscribed angles by the same arc are equal.

Angles x and y are subtended by the same arc.

So, x = y.

It states that if an angle is inscribed in an arc of a circle, then the angle subtended by the arc is twice the angle subtended by any other arc of the same circle that is congruent (equal) to the first arc.

In other words, if A and B are two points on a circle, and if the arc AB is subtended by the central angle ∠AOB, then the central angle ∠AOC is twice the angle ∠AOB, where C is any point on the arc AB that is congruent to AB.

So, y = 70°/2 = 35°

Therefore, the angle y in the given figure is 35°.

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