i ). If two complementary angles are in the ratio 2:7 , find them.
ii ). Find the time in which Rs 2000 will amount to Rs 2330 at 11 percent per annum.
iii ). Three angles which add up to 180◦ are in the ratio 1:2:3. find them.
iv). are the following pairs of angles 27◦ 58' and 152◦ 2' supplementary?
v). What sum of money lent out to 180◦ for 3yrs will produce the same interest as Rs900 lent out 4◦/◦ for the 5yrs?
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Answer:
I) (Let the angles be x)
and sum of 2 complementary angles is 90°
Therefore,
2x + 7x = 90°
9x = 90°
x = 90°/9
x = 10°
Therefore,
2x = 10 × 2 = 20°
7x = 10 × 7 = 70°