Question

angles F and angle G are complementary angle F measures 2X +7° in angle G measures 18 find the value of X and measure each angle

Answer 1

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°