Question

An angle measures 70° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

55∘ and 125∘

Explanation:

Supplementary angles sum to

180∘

let one angle be
`x`

then the other angle is
`x+70`

summing the 2 angles gives

`x+x+7=180`

`2x+70=180`

subtract 70 from both sides

`2x=180 -70=110`

divide both sides by

`2x=(110)/(2) =55`

thus the angles are

55∘ and 55 + 70= 125∘

Answer 2

Explanation:

Let an angle = x

x= 70+(90-x)

x= 160-x

2x=160

x=80

So angle is 80 and it's complementary angle would be 10