Question

Two angles are complementary. One angle is 10 more than twice the other. What are the measures of the angles?

Answer 1

`(80˚)/3,(190˚)/3`

Explanation:

`mangle1=x`
`mangle2=2x+10`

Since the angles are complementary,

`mangle1+mangle2=90˚`

Thus,

`x+(2x+10)=90˚`

`3x+10=90˚`

`3x=80˚`

`x=mangle1=80/3`

The other angle is `2x+10`, or

`mangle2=2(80/3)+10=160/3+30/3=190/3`