Question

In figure, calculate the measure of angle AOC

Answer 1

Answer:

100 degree angle

Step-by-step explanation:

sum of triangle is 180 degree.so 180 degree - 100 degree is 100 degree.

Answer 2

The measure of angle AOC is 160°

Step-by-step explanation:

here ,

in triangle AOB

AO = OB (radii of the circle )

$\angle OBA = \angle OAB = 32^\circ$

(angle opposite to equal side are equal )

similarly

OC = OB

$\angle OCB = \angle OBC = 48^\circ$

then

$\angle ABC = \angle OBA + \angle OBC \\\angle ABC = 32 + 48 \\\angle ABC = 80^\circ$

now , we know that  

$\angle ABC = \frac{1}{2}\times \angle AOC \\ 80 = \frac{1}{2}\times \angle AOC \\\angle AOC = 80\times 2 \\\angle AOC = 160^\circ$

hence ,

The measure of angle AOC is 160°

#Learn more:

In the given figure,

BAO = 40° and BCO = 56. Calculate the measure of AOC.​

https://brainly.in/question/14160389