ABC and ADC are two right triangles with common hypotenuse AC. Prove that angle CAD=angle CBD.
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163
i hope this will usful to u
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Akshi24:
Hey if DC is a chord then how are these angles equal ?
And the labelling of points is too incorrect
i forgot B,D plz write at A,B,D,C
in anti clock direction
angles in semi circle are 90 degrees
therefore angleABD and angle ADC are equal to 90 degrees
is it clear now
Yes thanks for the interpretation :-) !
Answered by
151
Hello mate ☺
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Solution:
AC is the common hypotenuse for two right triangles, ∆ABC and ∆ADC.
∠ABC=∠ADC=90° (Given)
⇒∠ABC+∠ADC=180°
(If sum of a pair of opposite angles of a quadrilateral is 180°, the quadrilateral is cyclic.)
Therefore, quadrilateral ABCD is cyclic.
⇒∠CAD=∠CBD. (Angles in the same segment are equal)
I hope, this will help you.☺
Thank you______❤
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