AB is parallel to DC. If angleA=95
then find angleABC also justify your
answer.
Answers
Step-by-step explanation:
Very easy one bro...
Angle A = 95° ( given)
Now, Angle A + Angle C = 180° ( Since the sum of opposite angles of a cyclic quadrilateral is 180°)
=> 95° + Angle C = 180°
Therefore, Angle C = 180° - 95°
= 85°
Also, Angle C + Angle B = 180° (Since AB || CD so the sum of co-int. angles is 180°)
=> Angle BCD + Angle ABC = 180°
=> 85° + Angle ABC = 180°
Therefore, Angle ABC = 180°- 85°
= 95°
Hope it helps....
ANYWAYS, LET'S STAY AWESOME
Answer:-
ABCD is a cyclic quadrilateral.
So their sum of opposite interior angles will be 180°
Now angle A = 95° (Given)
Therefore
angle (A + C) = 180°
=> 95° + C = 180°
=> C = 85°
angle (B + C) = 180° [Adjacent angles are supplementary]
=> Angle (B + 85°) = 180°
=> Angle B = 95°
Hence angle ABC = 95°
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