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deepaksoni
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Asked: 2021-04-16T07:38:06+05:30 In:

Question 28. (a) In the figure (i) given below, O is the centre of the circumcircle of triangle XYZ. Tangents at X and Y intersect at T. Given ∠XTY = 80° and ∠XOZ = 140°, calculate the value of ∠ZXY.

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Question 28. (a) In the figure (i) given below, O is the centre of the circumcircle of triangle XYZ. Tangents at X and Y intersect at T. Given ∠XTY = 80° and ∠XOZ = 140°, calculate the value of ∠ZXY.

One of the most important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15

This question has been asked in 1994.

In this question we have been given that , O is the centre of the circumcircle of triangle XYZ.

Two tangents at X and Y intersect at T.

Also it is given ∠XTY = 80° and ∠XOZ = 140°,  now we have to calculate the value of ∠ZXY.

ICSE Avichal publication
Understanding ICSE Mathematics
Question 28(a)

circlesicseml aggarwal
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    1. Guru

      Solution:-

      Join OY, OX and OY are the radii of the circle
      and XT and YT are the tangents to the circle.
      ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q28.2

      <ZXY=1/2(<ZOY)=120/2=60

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