You visited us 1 times! Enjoying our articles? Unlock Full Access!

Diagonals of a Quadrilateral

In the follow...

Question

In the following figure, AC and BD are the diagonals of quadrilateral ABCD. If AC is perpendicular to BD , then which of the following angles is not the right angle?

∠ A P D

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

∠ C P D

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

∠ B P C

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

∠ P B C

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

Open in App

Solution

The correct option is D $∠ P B C$
In the given figure, AC is perpendicular to BD.
So, $∠ A P D = 90^{\circ}$
Also, $∠ A P D = ∠ A P B = ∠ B P C = ∠ C P D = 90^{\circ}$
The value of $∠ P B C$ is not equal to $90^{\circ}$ as no two angles are equal to $90^{\circ}$ in any triangle.

Suggest Corrections

Similar questions

Q. In a quadrilateral

A B C D,

if the diagonals

A C

and

B D

intersect at right angles, then:

Q. In the given figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If

∠ D B C = 55^{\circ}

and

∠ B A C = 45^{\circ}

, then

∠ B C D

= ___ .

A B C D

is a quadrilateral.

A M

and

C N

are perpendiculars to

B D,

A M = C N

and diagonals

A C

and

B D

intersect at

O,

then which one of the following is correct

?

In the figure, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If $∠ D B C = 55^{\circ} a n d ∠ B A C = 45^{\circ},$ find $∠ B C D$ .

Q. Diagonals

¯ ¯¯¯¯¯¯ ¯ A C

and

¯ ¯¯¯¯¯¯¯ ¯ B D

of quadrilateral

A B C D

are perpendicular.

A D = D C = 8, A C = B C = 6, m ∠ A D C = 60^{o}

. The area of

A B C D

Join BYJU'S Learning Program

In the following figure, AC and BD are the diagonals of quadrilateral ABCD. If AC is perpendicular to BD , then which of the following angles is not the right angle?

The correct option is D ∠PBCIn the given figure, AC is perpendicular to BD. So, ∠APD=90∘ Also, ∠APD=∠APB=∠BPC=∠CPD=90∘ The value of ∠PBC is not equal to 90∘ as no two angles are equal to 90∘ in any triangle.

The correct option is D $∠ P B C$
In the given figure, AC is perpendicular to BD.
So, $∠ A P D = 90^{\circ}$
Also, $∠ A P D = ∠ A P B = ∠ B P C = ∠ C P D = 90^{\circ}$
The value of $∠ P B C$ is not equal to $90^{\circ}$ as no two angles are equal to $90^{\circ}$ in any triangle.