The measurement of the Arc(IJK) is 259 degree.
According to the statement
we have to find the measurement of the arc ikj.
So, For this purpose, we know that the
The given measurement of the arc are:
mik = (11x + 2)°, and mjk = (12x-7)°.
It means
Arc(ik) is equivalent to the Arc(jk)
For more understanding please see the mage below.
So, Take m on the both sides then it become
mArc(ik) is equivalent to the mArc(jk)
Now take this equal to each other then
11x + 2 = 12x-7
11x -12x = -7-2
-x = -9
here x = 9 then
The measure of mArc(IK) is
11x + 2
11(9) + 2
99+2
101 degree.
then the
The measure of Arc(IJK) is
Arc(IJK) = 360 - mArc(IK)
Arc(IJK) = 360 - 101
Arc(IJK) = 259 degree.
So, The measurement of the Arc(IJK) is 259 degree.
Learn more about arc here
https://brainly.com/question/2005046
#SPJ9
