Question

Can someone please help me solve this

Answer 1

`m\angle1=75^(\circ)`

Explanation:

Solution 1:

`m\angle1` is formed by a point that is on the circle. The angle encompasses an arc of
`150^(\circ)` and thus the measure of the angle formed is
`(150)/(2)=\fbox{$75^(\circ)$}`.

Solution 2:

Since
`\angle 1` is adjacent to a line and encompasses an arc, we can set up the following proportion:

`(150)/(360)=(m\angle 1)/(180)`

Solving, we get
`m\angle 1=\fbox{$75^(\circ)$}`.