Question

The diagonals of a rectangle ABCD angle BAC is equal to 50 then find angle oad

Answer 1

Answer:

Heya

The diagonals of a rectangle ABCD intersect at the point O. If ∠BOC = 50°, then ∠OAD = ?

A. 50o

B. 55o

C. 65o

D. 75o

Class 9th

RS Aggarwal & V Aggarwal - Mathematics

9. Quadrilaterals and Parallelograms

Answer

∠BOC = ∠AOD (Vertically opposite angles)

Angle AOD = 50°

In ∆ AOD, Since, the diagonals are equal, thus the bisectors will also be equal)

Thus, OA = OD

∴ ∠OAD = ∠ODA

=

(180° - 50°)

=

(130°)

= 65°