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Question 2
In the figure given below,
ΔODCΔOBA,BOC=125and CDO=70
FindDOC,DCO and OAB.


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Solution

DOB is a straight line.
Therefore, DOC+BOC=180 (linearpairangles)
DOC=180125=55

In ΔDOC,
DCO+CDO+DOC=180 (Sum of the measures of the all angles in a triangle is 180)
DCO+70+55=180
DCO=55

It is given that ΔODCΔOBA.
OAB=OCD [Corresponding angles are equal in similar triangles.]
OAB=55


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