Can someone please help me solve this

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Question:

Can someone please help me solve this

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Answer:[tex]m\angle1=75^{\circ}[/tex]Step-by-step explanation:Solution 1:[tex]m\angle1[/tex] is formed by a point that is on the circle. The angle encompasses an arc of [tex]150^{\circ}[/tex] and thus the measure of the angle formed is [tex]\frac{150}{2}=\fbox{$75^{\circ}$}[/tex].Solution 2:Since [tex]\angle 1[/tex] is adjacent to a line and encompasses an arc, we can set up the following proportion:[tex]\frac{150}{360}=\frac{m\angle 1}{180}[/tex]Solving, we get [tex]m\angle 1=\fbox{$75^{\circ}$}[/tex].

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