What is the measure of ∠ABC? Enter your answer in the box. ° quadrilateral A B C D with side A B parallel to side B C and side A B parallel to side D C. Angle A is 85 degrees.

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Mathematics

Tamara

27 December, 02:19

What is the measure of ∠ABC? Enter your answer in the box. ° quadrilateral A B C D with side A B parallel to side B C and side A B parallel to side D C. Angle A is 85 degrees.

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Krause · Answer 1

95 degrees

Step-by-step explanation:

In a quadrilateral where there are two pairs of parrallel sides, the angles adjacent to each other are supplementary and add to 180 degrees. This means Angle A + Angle B = 180, Angle B + Angle C = 180, Angle C + Angle D = 180 and Angle D + Angle A = 180. If Angle A is 85 degrees then Angle B is 95 degrees. There are only two distinct angle measures within the quadrilateral. All angles for the quadrilateral are 85 or 95 degrees.