# geometry

In a triangle ABC,right angled at B, BD is drawn perpendicular to AC. prove that:
(i) angle ABD = angle c
(ii) angle CBD = angle A

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1. (i) ABD is the complement of A.
C is also the complement of A
Therefore ABD = C

(ii)
CBD is the complement of C
A is the complement of C.
Therefore CBD = A

It will be easier to see if you draw the figure. B, ADB and BDC are right angles.

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