If the measure of arc ad = (6x – 80)° and 2g = (x + 2)°, what is the measure of g?

 The measure of G = 9.2°

Step-by-step explanation:

From the figure we can write,

The measure of <G is half the  the measure of arc AD

To find the value of x

We have  AD = (6x - 80)° and 2G = (x + 2)°

6x - 80 = (x + 2)

6x - 80 = x + 2

6x - x = 82

5x = 82

x = 82/5 = 16.4

To find the measure of <gG

m<G = (x + 2 )/2

 = (16.4 + 2)/2 = 18.4 = 9.2

Therefore the measure of <G =  9.2°

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