Mathematics: The answer is 7 but does anyone know how to show the work ?

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The answer is 7 but does anyone know how to show

chimbali9736

24.01.2022

x = 7

Step-by-step explanation:

An inscribed angle represents half of its intercepting arc. So what I did was add 19x + 13 and which comes to 19x + 103

Angle Q would be half of 19x + 103 .

$Q = \frac{19x +103}{2}$

The opposite of Q is 7x + 13 .

I will call this angle "y" just to explain.

y + Q = 180

This means we just have to plug everything in.

$7x + 13 +\frac{19x + 103}{2} = 180$

Solve for x.

$7x +\frac{19x + 103}{2} = 167$

$2(7x +\frac{19x + 103}{2}) = (167)2$

14x +19x +103 = 334

33x = 231

x = 7

I haven't done geometry is forever so I really hope this makes sense and it helped you! :)

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