Question

What is the measure of ∠ABC?

Answer 1

95 degrees is the answer

Answer 2

Answer:
`95^(\circ)`

Explanation:

In the given picture , we have given a parallelogram [Opposite sides are congruent and parallel].

We know that the adjacent angles of parallelogram are supplementary angles.

Thus,
`\angle{DAB}` and
`\angle{ABC}` are supplementary angles.

`\Rightarrow\ \angle{DAB}+\angle{ABC}=180^(\circ)\\\\\Rightarrow\ 85^(\circ)+\angle{ABC}=180^(\circ)\\\\\Rightarrow\ \angle{ABC}=180^(\circ)-85^(\circ)\\\\\Rightarrow\ \angle{ABC}=95^(\circ)`

Hence, the measure of
`\angle{ABC}=95^(\circ)`