Answer:
x = 7
Step-by-step explanation:
An inscribed angle represents half of its intercepting arc. So what I did was add [tex]19x + 13[/tex] and [tex]90[/tex] which comes to [tex]19x + 103[/tex]
Angle Q would be half of [tex]19x + 103[/tex].
[tex]Q = \frac{19x +103}{2}[/tex]
The opposite of Q is [tex]7x + 13[/tex].
I will call this angle "y" just to explain.
y + Q = 180
This means we just have to plug everything in.
[tex]7x + 13 +\frac{19x + 103}{2} = 180[/tex]
Solve for x.
[tex]7x +\frac{19x + 103}{2} = 167[/tex]
[tex]2(7x +\frac{19x + 103}{2}) = (167)2[/tex]
[tex]14x +19x +103 = 334[/tex]
[tex]33x = 231[/tex]
[tex]x = 7[/tex]
I haven't done geometry is forever so I really hope this makes sense and it helped you! :)
