## In triangle GHI, m∠H is 20 more than m∠G, and m∠G is 8 more than m∠I. What is the measure of each angle? Please show work

Question

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## Answers ( )

Let be the measures of the angles. We know that and .

Moreover, we know that the sum of the interior angles of a triangle is 180:

So, we have the following system:

Using the first two equations, we can express and in terms of :

So, the last equation becomes

And we deduce