What is the measure of ∠g?
a.
63°
b.
69°
c.
75°
d.
138°

According to the picture m<H and m<G are congruent.

The measure of the interior angles of a quadrilateral (4 sides) equal 360º.

This means m<E + m<F + m<H + m<G = 360º

So 105º + 117º + m<H + m<G = 360º

222º + m<H + m<G = 360º

m<H + m<G = 360º - 222º

m<H + m<G = 138º

We know that m<H = m<G 
To find  the measure of either <H or <G we just need to divide 138º by 2.

138º ÷ 2 = 69º

m<G = 69º

The first one, i believe, would be correct. all the others have one thing in common, and that's that they have repeating numbers. in the second one, x and y have repeating 6's and 3's, and in the third, x and y have repeating 6's as well. in the last one, there are repeating 3's. the first one has no repeating numbers.