In the figure- ABCD is a parallelogram in which - ADC -105- - CBE isA- 105-B- 55-C- 75-D- 90-

The correct option is C ABCD is a parallelogram Therefore, ∠ ADC=∠ ABC=105^∘[ Opposite angles are equal] ∠ ABC+∠ CBE=180^∘ [Linear pair] ∠ CBE=180^∘ 105^∘=75^∘ ...

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

Byju's Answer

Standard VIII

Mathematics

Opposite Angles in a Parallelogram Are Equal

In the figure...

Question

In the figure, ABCD is a parallelogram in which $∠ A D C = 105^{\circ}, ∠ C B E$ is

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

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

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

Open in App

Solution

The correct option is B
ABCD is a parallelogram
Therefore, $∠ A D C = ∠ A B C = 105^{\circ}$ [ Opposite angles are equal]
$∠ A B C + ∠ C B E = 180^{\circ}$ [Linear pair]
$∠ C B E = 180^{\circ} - 105^{\circ} = 75^{\circ}$
Hence, $∠ C B E = 75^{\circ} .$

Suggest Corrections

Similar questions

In the figure, ABCD is a parallelogram in which $∠ A D C = 105^{\circ}, ∠ C B E$ is

Q. In the figure, ABCD is a parallelogram in which

∠ A D C = 105^{\circ}

. The value of

∠ C B E

is ______.

In the figure, AB is parallel to DC and AD is parallel to BC,

If $∠ A D C = 105^{\circ}, ∠ C B E = ?$ is

In the figure, ABCD is a quadrilateral in which $\angle ADC=105^\circ ~and~ \angle ADC=~\angle ABC. Find \angle CBE$.

Q. In the given figure, ABCD is parallelogram. If

∠ A = 75^{\circ}

, then

∠ B

Join BYJU'S Learning Program

In the figure, ABCD is a parallelogram in which ∠ADC=105∘,∠CBE is

The correct option is B ABCD is a parallelogram Therefore, ∠ADC=∠ABC=105∘[ Opposite angles are equal] ∠ABC+∠CBE=180∘ [Linear pair] ∠CBE=180∘−105∘=75∘ Hence, ∠CBE=75∘.

In the figure, ABCD is a parallelogram in which $∠ A D C = 105^{\circ}, ∠ C B E$ is

The correct option is B
ABCD is a parallelogram
Therefore, $∠ A D C = ∠ A B C = 105^{\circ}$ [ Opposite angles are equal]
$∠ A B C + ∠ C B E = 180^{\circ}$ [Linear pair]
$∠ C B E = 180^{\circ} - 105^{\circ} = 75^{\circ}$
Hence, $∠ C B E = 75^{\circ} .$