Find ∠ A C B using the knowledge of cyclic quadrilaterals.O is the center of the circleFind ∠ A C B. It is given that ∠ A B D = 50 ∘ and ∠ A C D = 50 ∘ (inscribed angle theorem)Can you help me here stating the reasons

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unjulpild9b

2022-09-20

Find

∠ A C B

using the knowledge of cyclic quadrilaterals.

O is the center of the circle
Find

∠ A C B

. It is given that

∠ A B D = 50^{\circ}

and

∠ A C D = 50^{\circ}

(inscribed angle theorem)
Can you help me here stating the reasons

doraemonjrlf

Beginner2022-09-21Added 8 answers

Note that

A O D = 100 (2 \cdot A B D

since angle subtended at center is twice the angle subtended on the arc)
Step 2
Hence

A O B = 80

(since Points D O and B are collinear )
Hence

A C B = 40

( angle subtended at center is twice the angle subtended on the arc)

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