Question

write the complement of the following angles​

Answer 1

we know that,

if x and y are complementary angles

then,

x + y = 90°

Now, here

$let \: x = 59 \frac{1}{2} = \frac{2 \times 59 + 1}{2} = \frac{119}{9}$

and let y be it's complement.

So,

$\: \: \: \: \: x + y = {90}^{o} \\ \frac{119}{2} + y = 90 \\ y = 90 - \frac{119}{2} \\ y = \frac{180 - 119}{2} \\ y = \frac{61}{2} \\ y = \frac{2 \times 30 + 1}{2} \\ y = 30 \frac{1}{2}$

Hence, complement of 59½° is 30½°.

Answer 2

Here the with step by step explanation