A, B, C and D are four angles at a point so that A + B + C + D = 4 right angles, out of these A and B are acute angles while C and D are obtuse angles. Which of the following relations may be true?
1. A + B = C + D
2. A + C = B + D
3. A + D = B + C

2 and 3 only

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1 and 3 only

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1 and 2 only

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3 only

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Solution

The correct option is A 2 and 3 only
The following relations may be true
(i) $∠ A + ∠ C = ∠ B + ∠ D$ or
(ii) $∠ A + ∠ D = ∠ B + ∠ C$

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A, B, C and D are four angles at a point so that A + B + C + D = 4 right angles, out of these A and B are acute angles while C and D are obtuse angles. Which of the following relations may be true?1. A + B = C + D2. A + C = B + D3. A + D = B + C

The correct option is A 2 and 3 onlyThe following relations may be true(i) ∠A+∠C=∠B+∠D or (ii) ∠A+∠D=∠B+∠C

A, B, C and D are four angles at a point so that A + B + C + D = 4 right angles, out of these A and B are acute angles while C and D are obtuse angles. Which of the following relations may be true?
1. A + B = C + D
2. A + C = B + D
3. A + D = B + C

The correct option is A 2 and 3 only
The following relations may be true
(i) $∠ A + ∠ C = ∠ B + ∠ D$ or
(ii) $∠ A + ∠ D = ∠ B + ∠ C$