Question

two angles are in ratio 4ratio5 find the if angles are complementory and supplementory to each other find solution
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Answer 1

Answer:

40°,50° and 80°,100°

Step-by-step explanation:

$let \: the \: numbers \: be \: 4x \: 5x \\ case - 1 :\: if \: they \: are \: complementary \: angles \: \\ their \: sum \: is \: 90 {}^{0} \\ 4x + 5x = 90 {}^{0} \\ 9x = 90 {}^{0} \\ x = 90 {}^{0 } \div 10 \\ x = 10 \\ then \: the \: angles \: will \: be \: 40 {}^{0} ;\: 90 {}^{0} \\ case - 2 :\: if \: they \: are \: supplementary \\ angles \: their \: sum \: = 180 {}^{0} \\ 4x + 5x = 180 {}^{0} \\ 9x = 180 {}^{0} \\ x = 180 {}^{0} \div 9 \\ x = 20 {}^{0} \\ the \: angles \: will \: be \: 80 {}^{0} ;\: 100 {}^{0} .$