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saieraventi5
@saieraventi5
August 2021
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answer this please friends
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smartyneev2712
A + B=180° therefore it is an cyclic quadrilateral . so the angle D or vertex D should also lie on the same circle as it is a cyclic quadrilateral
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smartyneev2712
thank you
Thatsomeone
GIVEN- A, B, C are Vertices of quadrilateral lies on circle
angle A+ angle C=180
TO PROVE - D is on the circle
PROOF-
as we know that the sum of measures of angles of quadrilateral is 360
angle A+angle C+angleB+angle D=360
180+angle B+angle C=360
angle B+angle C=180
see sum of measures of opposite angles is 180 so it must be cyclic quadrilateral
so point D lie on circle
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Answers & Comments
angle A+ angle C=180
TO PROVE - D is on the circle
PROOF-
as we know that the sum of measures of angles of quadrilateral is 360
angle A+angle C+angleB+angle D=360
180+angle B+angle C=360
angle B+angle C=180
see sum of measures of opposite angles is 180 so it must be cyclic quadrilateral
so point D lie on circle