In EFG, EG is extended through point G to point H, m m

∠ FGH = 48°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FGH is an external angle of the triangle, thus

∠ FGH = ∠ EFG + ∠ GEF , substitute values

5x - 7 = x + 14 + 2x + 1

5x - 7 = 3x + 15 ( subtract 3x from both sides )

2x - 7 = 15 ( add 7 to both sides )

2x = 22 ( divide both sides by 2 )

x = 11

Thus

∠ FGH = 5x - 7 = 5(11) - 7 = 55 - 7 = 48°

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.