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

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

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

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step-by-step explanation: