Question

find an angle marked as X in given figure where o is the centre of the Circle. with the diagram​

Answer 1

Step-by-step explanation:

We know, angle subtended at the centre of the circle is twice the angle subtended at the circumference.

∴∠AOC=2∠ABC

=2×25

=50

0

△OAC is a isosceles triangle.

∴ OA=OC (radius)

Thus,

∠OAC+∠OCA=x

Again,

∠OAC+∠OCA+∠AOC=180

0

=>x+x+50

0

=180

0

=>2x=130

0

=>x=65

0

mark as brilliant

Answer 2

Answer:

0

Step-by-step explanation:

​We know, angle subtended at the centre of the circle is twice the angle subtended at the circumference.

∴∠AOC=2∠ABC

=2×25

=50

0

△OAC is a isosceles triangle.

∴ OA=OC (radius)

Thus,

∠OAC+∠OCA=x

Again,

∠OAC+∠OCA+∠AOC=180

0

=>x+x+50

0

=180

0

=>2x=130

0

=>x=65

0