Question

If the difference of two complementary angles is 18°.Find the measure of each? ​

Answer 1

Let the larger angle be x and smaller angle be y,

$x + y = {90}^{o}$

$x - y = {18}^{o}$

Subtracting the above equations, we have,

$2y = {72}^{o}$

$\therefore \: y = {36}^{o}$

Replacing value of y,

$x - {36}^{o} = {18}^{o}$

$x = {18}^{o} + {36}^{o}$

$\therefore \: x = {54}^{o}$

$\therefore \: the \: two \: angles \: are \: {36}^{o} \: and \: {54}^{o}$

Answer 2

Answer:

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