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Question 3
ABCD is a rhombus such that ACB=40, then ADB is
(a) 40 
(b) 45
(c) 50
(d) 60


Solution

Given, ABCD is a rhombus such that ACB=40OCB=40

Since,                           AD ||BC

                                    DAC=BCA=40                               [alternate interior angles]

Also,                                AOD=90 [diagonals of a rhombus are perpendicular to each other]

We know that, sum of all angles of a triangle ADO is 180
ADO+DOA+OAD=180
ADO=180(40+90)
                           =180130=50
ADB=50


Mathematics
NCERT Exemplar
Standard IX

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