In the diagram above, O is the centre of th..

Question 1 Report

In the diagram above, O is the centre of the circle ABC, < ABO = 26° and < BOC = 130°. Calculate < AOC.

26⁰

13⁰

80⁰

102⁰

Answer Details

< BAC = $\frac{130}{2}$ (angle subtended at the centre)
< BAC = 65°
Also, x = 26° (theorem)
y = 65° - 26° = 39°
< AOC = 180° - (39° + 39°)
= 102°