Question

If |lm and m<6 = 4x - 15 and m<7 = x+30, then m<6 =
35
45
39
15

Answer 1

∠ 6 = 45°

Explanation:

∠ 6 and ∠ 7 are alternate angles and are congruent, thus

4x - 15 = x + 30 ( subtract x from both sides )

3x - 15 = 30 ( add 15 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Thus

∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°