In the adjoining parralogram , ABCD, Angle CAD = 40°, Angle BAC = 35° , and Angle COD = 65°. Calculate
A) Angle BDC
B) Angle ABD
C) Angle ACB
D) Angle CBD
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Answer:
angle doc = angle aob( vertically opposite angle)
angle dba = 180 -( angleangle aob + angle cab)
= 180 - ( 65+ 35)
= 180- 100
= 80
angle bdc = angle dba = 80
( alternate angles are equal)
angle acb = angle dac(alternate angles are equal)
angle cob = 180 - 65
= 115
angle cbd = 180 -( angle cob + angle acb)
180 -(115 + 40)
= 180 - 155
= 25
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