Question

ABCE is a cyclic quadrilateral. O is the centre of the circle and ∠AOC = 150°,then ∠CBA ( Fig.2)

Answer 1

Answer:

105°

Step-by-step explanation:

In circle with centre O and

∠

A

O

C

=

150

∘

But

∠

A

O

C

+

r

e

f

l

e

x

∠

A

O

C

=

360

∘

∴

150

∘

+

r

e

f

l

e

x

∠

A

O

C

=

360

∘

⇒

∠

A

O

C

=

360

∘

−

150

∘

=

210

∘

Now are AEC subtends

∠

A

O

C

at the centre and

∠

A

B

C

at the remaining part of the circle.

Reflex

∠

A

O

C

=

2

∠

A

B

C

⇒

210

∘

=

2

∠

A

B

C

∴

∠

A

B

C

=

210

∘

2

=

105

∘

Answer 2

Answer:

150 answer me please poinsettia to be in the following