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

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