Math, asked by anshulkesari05, 1 year ago

AB is parallel to DC. If angleA=95
then find angleABC also justify your
answer.​

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Answers

Answered by TheEntity
2

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

Answered by Baban50
2

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°

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ʸᵒᵘ

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