Question

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

Answer 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.