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Since HJ is tangent to circle G, it forms a right angle with the radius that intersects it.

This means HG and HG are perpendicular and we have a right angle.

We have a (right) triangle with angle measurements 43 and 90, and we want to find the value of the last angle.

All the angles in a triangle must add up to 180, thus we can create the following equation to find the measurement of the last angle:

[tex]180-90-43[/tex]

[tex]=47[/tex]

The measure of angle G is 47 degrees. Let me know if you need any clarifications, thanks!

Answer:

<G = 47 degrees

Step-by-step explanation:

For this problem, we need to understand two things.  This tangent on the circle, with a line drawn to the center, forms a right angle at H.  Additionally, the sum of the angles of a triangle is 180.  Now with these two things, let's solve.

<G = 180 - (43 + 90)

<G = 180 - 133

<G = 47 degrees

Hope this helps.

Cheers.

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