MyQuestionIcon

1

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

Chord Properties of Circles

Given two cho...

Question

Given two chords $A B$ and $C D$ and are said to be congruent. Identify which of the following angles will be equal.

A

∠ A O B = ∠ A O D

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

B

∠ A O D = ∠ C O B

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

C

∠ C O D = ∠ B O C

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

D

∠ C O D = ∠ A O B

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

Open in App

Solution

The correct option is D $∠ C O D = ∠ A O B$
Angles formed at the center by congruent chords are equal.
So, $∠ C O D = ∠ A O B$ angles are equal.

Suggest Corrections

thumbs-up

0

Similar questions

Q. In the given alongside :
If

∠ A O B = 45^{o}, ∠ B O C = 30^{o}

∠ A O D = 110^{o}

C O D

B O D

.

Q. In the given figure,
If

∠ A O B = ∠ B O C = ∠ C O D = 38^{\circ}

,
find reflex angle

∠ A O C

and reflex angle

∠ A O D

.

In the given figure, chords $A B = C D, ∠ C O D = 60^{\circ}$ , and $∠ A O D = 170^{\circ}$ .

Find the value of $∠ B O C$ .

Q. Consider the following diagram where

A B

C D

are congruent arcs and chords. The measure of

∠ A O B = 50^{o}

. Then the value of

∠ C O D = ?

Q. In the given figure,

2 b - a = 65^{o}

∠ B O C = 90^{o}

, find the measure of

∠ A O B, ∠ A O D

∠ C O D

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Chord Properties of Circles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Chord Properties of Circles

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon