Question

Determine the m < FNT

Answer 1

∠ FNT = 120°

Explanation:

14a - 20 and 7a + 50 are corresponding angles and congruent, thus

14a - 20 = 7a + 50 ( subtract 7a from both sides )

7a - 20 = 50 ( add 20 to both sides )

7a = 70 ( divide both sides by 7 )

a = 10

Thus

∠ MNG = 7a + 50 = 7(10) + 50 = 70 + 50 = 120°, hence

∠ FNT = 120° ( vertical to ∠ MNG )