The measures of the twoa angles in a linear pair are in the ratio 1:3. What is the measure of the lager angle?

Answer 1

L = Large angle

S = Smaller angle

S = L / 3

S + L = 180°

L / 3 + L = 180°

L / 3 + 3 L / 3 = 180°

4 L / 3 = 180°

4 L = 3 ∙ 180° = 540°

L = 540° / 4 =135°

S = L / 3 = 135° / 3 = 45°

Large angle = 135°