Question

Angles A and B are complementary. Angle B is 8 times as large as

angle A. What is the measure of angle A?

Answer 1

Required Answer:-

Let

Angle A=x

Angle B=8x

ATQ

`{:}\longrightarrow`
`\sf x+8x=90`

`{:}\longrightarrow`
`\sf 9x=90`

`{:}\longrightarrow`
`\sf x={\frac {90}{9}}`

`{:}\longrightarrow`
`\sf x=10`

`\therefore` angle A=10°.