Question

In the figure, KLMN is a rhombus. The value of b-a is:
(a) 36 degree (b) 54 degree (c)18 degree (d)27 degree​

Answer 1

Step-by-step explanation:

The diagonals of a Rohmbus bisect each other at 90° .

Diagonals are perpendicular to each other.

So, angle MOL (i.e.) b = 90°.

angle MKL = KMN (alternate angles).

So, angle KMN = 36°

angle MON = 90° (diagonals are perpendicular to each other.)

OMN + MON + a = 180° (sum of all angles of triangle)

or, 36° + 90° + a = 180°

or, 126° + a = 180°

or , a = 180° - 126°

or, a = 54°

Ans:- a = 54°

b= 90°