In the given figure, it is given that chords AB = PQ. The $∠ A O B = 55^{0}$ , and $∠ P O Q = x^{0}$ , find $x$ (in degrees).

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Solution

The correct option is A
55

Here we are given that AB = PQ.

Now let us consider $Δ A O B$ and $Δ P O Q$ ,

Here, AB = PQ (given)

AO = PO = radius of the circle

Similarly, BO = QO = radius of the circle

$∴ Δ A O B ≅ Δ P O Q$ (By SSS congruency)

Hence, $∠ P O Q = 55^{\circ}$ . (C.P.C.T)

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Similar questions

In the given figure, it is given that chords AB = PQ. The $∠ A O B = 55^{0}$ , and $∠ P O Q = x^{0}$ , find $x$ .

In the figure below, it is given that chords AB = PQ. The $∠ A O B = 55^{0}$ , and $∠ P O Q = x^{0}$ , find $x$ .

∠ A O B = 55^{\circ}

∠ P O Q = x,

x

If chords AB and PQ are equal, $∠ A O B = 55^{\circ}$ , and $∠ P O Q = x,$ then $x$ = ___.

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