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Standard X

Mathematics

Tangents from External Points

In the figure...

Question

In the figure, O is the centre of circumcircle of triangle XYZ. Tangents at X and Y intersect at T. Given ∠XTY = 80^o and ∠XOZ = 140^o, calculate the value of ∠ZXY.

30^o

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20^o

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120^o

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60^o

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40^o

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Solution

The correct option is D
60^o

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Similar questions

In the figure, given below, O is the centre of the circumcircle of triangle XYZ. Tangents at X and Y intersect at point T. Given $∠ X T Y = 80^{\circ}$ and $∠ X O Z = 140^{\circ}$ , calculate the value of $∠ Z X Y$ .

Q. in fig,

o

is the center of the circumference of

△ X Y Z

. Tangents at

X

and

Y

intersects at

T

. Given

∠ X T Y = 80^{0}

and

∠ X O Z = 140^{0}

. Calculate

∠ Z X Y

Q. In the given figure, O is the centre of the circumcircle. Tangents at A and C intersect at P. Given

∠

A O B = 140^{\circ}

and

∠

A P C

80^{\circ}

; find the

∠

B A C

Q. In the given figure,

O

is the centre of the circumcircle of

△ A B C

. Tangents at

A

and

B

intersect at

T

. If

∠ A T B = 80^{o}

and

∠ A O C = 130^{o}

. Then

∠ C A B

In the given figure, O is the centre of the circumcircle ABC. Tangents at A and C intersect at P. Given angle $A O B = 140^{\circ}$ and angle $A P C = 80^{\circ}$ ; find the angle BAC.

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In the figure, O is the centre of circumcircle of triangle XYZ. Tangents at X and Y intersect at T. Given ∠XTY = 80o and ∠XOZ = 140o, calculate the value of ∠ZXY.

The correct option is D 60o

In the figure, O is the centre of circumcircle of triangle XYZ. Tangents at X and Y intersect at T. Given ∠XTY = 80^o and ∠XOZ = 140^o, calculate the value of ∠ZXY.

The correct option is D
60^o