The bisectors of any two adjacent angles of a parallelogram intersect at

Question

Philoid · Accepted Answer

We know that,

Sum of two adjacent angles = 180^o

Also, sum of bisector of adjacent angles = 180/2 = 90^o

As sum of angles of a triangle = 180^o

∴ Sum of 2 adjacent angles + Intersection angle = 180^o

90^o + Intersection angle = 180^o

∴ Intersection angle = 180^o – 90^o

= 90^o

Hence, option (D) is correct