Question

HELP PLEASE GEOMETRY find X,Y,Z

Answer 1

We know that the arc cut off by a tangent has measure equal to twice the angle it cuts off. So,
`x = 2 \cdot 82 = \boxed{164}`.

The sum of two angles that together occupy a straight line is
`180`, so
`z+82 = 180`, so
`z = 98`. Then, by the same fact we used above,
`y = 2 \cdot z = 2 \cdot 98 = \boxed{196}`.

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