In the given figure, {\ABCDE} is a pentagon inscribed in a circle such that {\AC} is a diameter and side {\BC} \/ \/ {\AE}. If \angle {\BAC}=50^{\circ}, find giving reasons: (i) \angle {\ACB} (ii) \angle {\EDC} (iii) \angle {\BEC} Hence prove that {\BE} is also a diameter

ICSE Class X Math 2019 Solved Paper - Question 32

Question : 32 of 32

Marks: +1, -0

In the given figure,

{\ABCDE}

is a pentagon inscribed in a circle such that

{\AC}

is a diameter and side

{\BC} \/ \/ {\AE}

. If

∠ {\BAC}=50^{∘}

, find giving reasons:
(i)

∠ {\ACB}

(ii)

∠ {\EDC}

(iii)

∠ {\BEC}

Hence prove that

{\BE}

is also a diameter

Solution:

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