In the given figure- if XY -6 cm and - XOY - MON -85- then the length of the chord MN is Cm-A- 6

The correct option is A 6Angle subtended by chord MN = nbsp;∠ MON. Angle subtended by chord XY = nbsp;∠ XOY. It is given that ∠ XOY = ∠ MON. If the angle ...

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Byju's Answer

Standard VIII

Mathematics

The Chords Corresponding to Congruent Arcs Are Congruent

In the given ...

Question

In the given figure, if $X Y = 6 c m$ and $∠ X O Y = ∠ M O N = 85^{\circ}$ , then the length of the chord MN is ___cm.

6

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Solution

The correct option is A 6
Angle subtended by chord MN $= ∠ M O N$ .

Angle subtended by chord XY $= ∠ X O Y$ .

It is given that $∠ X O Y = ∠ M O N$ .

If the angles subtended by the chords at the centre are equal, then the two chords are equal.
Thus, MN = XY = 6 cm.

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In the given figure, if XY=6 cm and ∠XOY=∠MON=85∘, then the length of the chord MN is ___cm. 6

The correct option is A 6Angle subtended by chord MN =∠MON. Angle subtended by chord XY =∠XOY. It is given that ∠XOY=∠MON. If the angles subtended by the chords at the centre are equal, then the two chords are equal. Thus, MN = XY = 6 cm.

In the given figure, if $X Y = 6 c m$ and $∠ X O Y = ∠ M O N = 85^{\circ}$ , then the length of the chord MN is ___cm.

6

The correct option is A 6
Angle subtended by chord MN $= ∠ M O N$ .

Angle subtended by chord XY $= ∠ X O Y$ .

It is given that $∠ X O Y = ∠ M O N$ .

If the angles subtended by the chords at the centre are equal, then the two chords are equal.
Thus, MN = XY = 6 cm.