59. In /\ABC, AD bisects angle BAC and AD = DC. If angle BOA = 70° then the measure of angle ABD is:
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given: AD-DC
Hence angle dac-angle dca =x(say)
we know that the exterior angle is equal
to sum of its opposite interior angle
hence, angle ADB-angle (dac+dca)
70=x+ X
x=35
and angle bad-angle dac = 35°
Now, in triangle ABD we have
70°+35°+angle ABD=180°
angle ABD=180°-105°-75°
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