Question
The diagonals of a rectangle are inclined to one side of
the rectangle at 25°. The acute angle formed between the diagonals is:Solution
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∘.
Statements : R < O ≤ P < Q; M < L ≤ N > O; S < Q ≤ K
Conclusions:
I. M < K
II. N > R
III. O < S
In the question, assuming the given statements to be true, find which of the following conclusion(s) among the three conclusions is/are definitely tru...
If '>' denotes '+', '<' denotes '-', '-' denotes '×', '×' denotes '÷', '÷' denotes '=', then choose the correct statement of the following.
...In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is/are definitely true and t...
Statements: N # L, L @A, A % I, I & E
Conclusions :
I.E $ L
...Statements: E # L, L @ U, U $ N, N % K
Conclusions: I. K @ U II. K % U III. E @ U
...In each of the questions below are given some statements followed by two conclusions. You have to take the given statements to be true even if they see...
Statement: A ≤ B ≤ C > D; E < D; F > E
Conclusions: I. D > A II. E < C
...Which of the following symbols should replace the question mark (?) in the given expression in order to make the expressions ‘N > S’, and ‘S < V�...
Statements: X < H = U ≤ I < N = M, M > B ≥ V
Conclusions:
I. I > V
II. U ≥ M
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