Points A,B,C lie on a circle with center O. Show that ∡OAC=90-∡CBA.

Israel Hale

Israel Hale

Answered question

2022-07-18

Points A, B, C lie on a circle with center O. Show that O A C = 90 C B A

Answer & Explanation

Urijah Hahn

Urijah Hahn

Beginner2022-07-19Added 13 answers

Step 1

Say A B C = θ  . By inscribed angle theorem,
A O C = 2 A B C = 2 θ.
Step 2
As O A = O C, A O C is isosceles triangle. So, O A C = O C A = 180 0 2 θ 2 = 90 0 θ

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