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In the figure, given below, find: ∠ABC. Show steps of your working. - Mathematics

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Question

In the figure, given below, find: ∠ABC. Show steps of your working.

Sum

Solution


∠ADC + ∠ABC = 180°

(Sum of opposite angles of a cyclic quadrilateral is 180°)

`=>` ∠ABC = 180° – 75° = 105°

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Chapter 17: Circles - Exercise 17 (A) [Page 258]

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Selina Mathematics [English] Class 10 ICSE
Chapter 17 Circles
Exercise 17 (A) | Q 7.3 | Page 258

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An exterior angle of a cyclic quadrilateral is congruent to the angle opposite to its adjacent interior angle, to prove the theorem complete the activity.

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