Given that the measure of angle 6 is 1/8 of measure of angle 4. Find the measures of these two angles if a∥b.

Answer:see explanationStep-by-step explanation:Let ∠4 be x then ∠6 is [tex]\frac{1}{8}[/tex] x∠4 and ∠6 are same side interior angles and are supplementary, thusx + [tex]\frac{1}{8}[/tex]x = 180Multiply through by 8 to clear the fraction8x + x = 1440, that is9x = 1440 ( divide both sides by 9 )x = 160Hence ∠4 = 160° and ∠6 = 160° ÷ 8 = 20°