The ratio of the measure of supplementary angle to the complementary angle of a given angle is it is 8:3 .what will be the ratio to the angle to its supplementary angle?
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Answer:
1 : 4
Step-by-step explanation:
Let us consider the angle as 'x',
∴ 180 - x : 90 - x = 8 : 3
by cross multiplication,
∴ 540 - 3x = 720 - 8x
∴ - 3x + 8x = 720 - 540
∴ 5x = 180
∴ x = 180 ÷ 5
∴ x = 36
According to the question,
∴ 36 : (180 - x)
∴ 36 : 144
∴ Ans. = 1 : 4
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