Question

The complement of an angle is half of it’s size. Find the angle

Answer 1

`\quad \huge \quad \quad \boxed{ \tt \:Answer }`

`\qquad \tt \rightarrow \:The \:\: angles \:\: are \:\: 60° \:\: and \:\:30°`

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`\large \tt Solution \: :`

Sum of two complementary angles is 90°

Let's assume one of them to be x, the other one will be x/2 as one of the angles is complementary to other one.

`\qquad \tt \rightarrow \: x + (x)/(2) = 90`

`\qquad \tt \rightarrow \: (2x + x)/(2) = 90`

`\qquad \tt \rightarrow \: 3x = 90 * 2`

`\qquad \tt \rightarrow \: x = 180 / 3`

`\qquad \tt \rightarrow \: x = 60 \degree`

and

`\qquad \tt \rightarrow \: (x)/(2) = 60 / 2 = 30 \degree`

Answered by : ❝ AǫᴜᴀWɪᴢ ❞