MathematicsIn the diagram, O is the centre of the circle. Then, which of the following is the value of x?

In the diagram, O is the centre of the circle. Then, which of the following is the value of $x$ ?

A
$111^{o}$
B
$123^{o}$
C
$69^{o}$
D
$49^{o}$

Solution:

Consider the given figure,

Use circle theorem which states that the measure of an angle subtended by an arc at the center is twice the measure of an angle subtended by the same arc at the circumference of the circle.
The exterior angle at the center is

360^{o} - 138^{o} = 222^{o}

.
So, the value of

x

is half of

222^{o}

that is

\frac{222^{o}}{2} = 111^{o}

.
Hence, the value of

x

111^{o}

.
Therefore, option 1 is correct.

In the diagram, O is the centre of the circle. Then, which of the following is the value of $x$ ?

Solution:

Company

Support

Courses

More

JEE

NEET

CBSE

NCERT solutions

NCERT exemplar

State Board

Subject

Rank Predictor

Engineering Entrance Exam

follow us