. In a AABC, AD bisects ZBAC and AD = DC. If ZBDA = 70°, calculate ZACD and ZABD.
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Answer:
75°
Step-by-step explanation:
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°
Hence The measurement of angle ABD is 75°
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