The given diagram represents a quadrilateral inside a circle .
And to find the measurement of angle 1, we have to use the following rule:
Sum of opposite angles of a cyclic quadrilateral is 180 degree.
Here one angle is 86 degree.
[tex] \angle 1 + 86 = 180 [/tex]
Subtracting 86
[tex] \angle 1 = 180 - 86 = 94 [/tex]
So the measurement of angle 1 is 94 degree.
