Question

Given: a ║ b and m<6 is 1/8 of m<4, find m<4 and m<6

Answer 1

∠ 4 = 160° , ∠ 6 = 20°

Explanation:

∠ 4 and ∠ 6 are same side interior angles and sum to 180°

given ∠ 6 =
`(1)/(8)` ∠ 4 ( multiply both sides by 8 to clear the fraction )

8 ∠ 6 = ∠ 4

then

∠ 4 + ∠ 6 = 180° , that is

8 ∠ 6 + ∠ 6 = 180°

9 ∠ 6 = 180° ( divide both sides by 9 )

∠ 6 = 20°

∠ 4 = 8 × ∠ 6 = 8 × 20° = 160°