Question

. A diagonal of a rectangle is inclined to one side of the rectangle at 25⁰

. The acute angle between the

diagonals is

(a) 55⁰

(b) 50⁰

(c) 40⁰

(d) 25⁰
​

Answer 1

ANSWER

In △BOC,

∠OBC=∠OCB ----- (Opposite angle of isosceles triangle)

∠OBC+∠OCB+∠BOC=180 ∘

25∘ +25∘ +∠BOC=180 ∘

Therefore, ∠BOC=130 ∘

So, ∠AOB+∠BOC=180 ∘ --------(Linear pair)∠AOB=180 ∘−130 ∘

∠AOB=50 ∘

So, the acute angle between the diagonal is 50 ∘