Question

in the given figure , O is the center of the circle if angle aob= 60° find the measure of angle aoc and angle abc

Answer 1

$\large \tt AHOY!! \:$

given angleAOB = 60°

therefore angle AOC = 180° - 60° (linear pair)

= 120°

now we can see that there are two angles subtended by arc AC. one at the center (angle AOC) and one on the circle angle ABC.

we know that angle subtended by same arc on the circle is half of the angle subtended at the center of the circle by same arc.

therefore angle ABC = 120/2 (since angle AOC = 120°)

= 60°

hence, the measure of angle ABC = 60°

$\large \tt HOPE \: THIS \: HELPS!!$

Answer 2

Step-by-step explanation:

thank u l hope it's helpful for you