Question

Help please and show work

Answer 1

18°

Explanation:

Note that 25% =
`(1)/(4\\)`

let x be one angle then the other is
`(1)/(4\\)` x

Complementary angles sum to 90°, thus

x +
`(1)/(4\\)` x = 90

Multiply all terms by 4

4x + x = 360

5x = 360 ( divide both sides by 5 )

x = 72

The smaller angle =
`(1)/(4\\)` × 72° = 18°