What is the measure of angle aoc

Question

asked Aug 11, 2021 221k views

2 Answers

Halbano · Answer 1 · 2021-08-16T13:10:35+0000

Answer:

$\angle AOC=66$

Explanation:

For two intersecting chords, the angle formed is half the sum of the measure of the arcs intercepted by the angle and its vertically opposite angle.

This means that:

$58\degree=(1)/(2)( 50+\angle AOC)$

Multiply through by 2 to get:

$116=50+\angle AOC$

Subtract 50 from both sides;

$\angle AOC=116-50=66$

$\angle AOC=66$