Question

Angle acb is inscribed in arc ACB of a circle . if angle ACB is 65 then , find m(arc ACB)

Answer 1

i think that 65 degrees may be

Answer 2

m(arcACB)$=230^{\circ}$

Explanation:

Angle ACB=65 degrees

Central angle theorem:it states that central angle is equal to twice the angle subtended  by the same arc at the circumference of circle.

By central angle theorem

Angle AOB=$2\times \angle ACB$

Angle AOB=$2\times 65=130^{\circ}$

$m\angle AOB=130^{\circ}$

We know that measure of complete angle=360 degrees

To find the major arc ACB we will subtract 130 degrees from complete angle

m(arc ACB)=$360-130$

m(arc ACB)=$230^{\circ}$

Hence, m(arcACB)$=230^{\circ}$

#Learns more:

https://brainly.in/question/6420343:Answered by Throwdolbeau