Answer:
x = 32.5 , ∠ F = 72° , ∠ G = 18°
Step-by-step explanation:
complementary angles have a sum of 90°, that is
∠ F + ∠ G = 90 ( substitute values )
2x + 7 + 18 = 90
2x + 25 = 90 ( subtract 25 from both sides )
2x = 65 ( divide both sides by 2 )
x = 32.5
substitute x = 32.5 into the expression for ∠ F
∠ F = 2x + 7 = 2(32.5) + 7 = 65 + 7 = 72°
that is ∠ F = 72° and ∠ G = 18°
