m∠1 = (4x + 9)° and m∠2 = (x − 14)° in the given figure. Find x. answers: 19 7 8 37

Answer:
x = 19
Step-by-step explanation:
∠ 1 + ∠ 2 = 90° ( corresponding angle ), substitute values
4x + 9 + x - 14 = 90
5x - 5 = 90 ( add 5 to both sides )
5x = 95 ( divide both sides by 5 )
x = 19