Diagonals of a quadrilateral ABCD bisect each other. If `angleA=35^(@), ` determine `angleB`.

Options

A. `angleB=145^(@)`
B. `angleB=115^(@)`
C. `angleB=135^(@)`
D. `angleB=125^(@)`

Answer

A

Explanation

Since, diagonals of a quadrilateral bisect each other, so it is a parallelogram.
Therefore, the sum of interior angles between two parallel lines is `180^(@)` i.e.,
`angleA+angleB=180^(@)`
`rArr" "angleB=180^(@)-angleA=180^(@)-35^(@)" "[angleA=35^(@),"given"]`
`rArr" "angleB= 145^(@)`