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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

1 and 3 only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

and 2 only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

3 only

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

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

Suggest Corrections

Similar questions

Q. 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

Q. A, B, C and D are four angles at a point so that

A + B + C + D = 4

rightangles, outof these A and B are acute angles while C and D are obtuse angles. Which of the following relations may be true?

2 and 3 only
1 and 3 only
1 and 2 only
3 only

Match the following: $\begin{matrix} Quadrilateral & Properties 1. Trapezium & A) A parallelogram, where diagonals bisect at right angles, all sides are equal and none ofthe angles are equal to 90^{\circ} 2. Square & B) A quadrilateral, where only one pair of opposite sides are parallel and unequal 3. Rectangle & C) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90^{\circ} 4. Rhombus & D) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90^{\circ} \end{matrix}$

Q. In the given figure, ∆ABC and ∆ABD are such that AD = BC, ∠1 = ∠2 and ∠3 = ∠4. Prove that BD = AC.
Figure

Match the following:

$\begin{matrix} Quadrilateral & Properties 1. Trapezium & A) A parallelogram, where diagonals bisect at right angles, all sides are equal and none of the angles are equal to 90^{\circ} 2. Square & B) A quadrilateral, where only one pair of opposite sides are parallel and unequal 3. Rectangle & C) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90^{\circ} 4. Rhombus & D) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90^{\circ} \end{matrix}$

Join BYJU'S Learning Program

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+∠Dor (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) $∠ A + ∠ D = ∠ B + ∠ C$