Question

25. angle EFG and angle GFH are a linear pair,

m angle EFG = 2n + 21, and m angle GFH = 4n + 15.

What are m angle EFG and m angle GFH?

Answer 1

m<EFG =
`69^(o)`, and m<GFH =
`111^(o)`

Explanation:

Linear pair angles are two supplementary angles.

Thus,

m<EFG + m<GFH =
`180^(o)`

2n + 21 + 4n + 15 =
`180^(o)`

collecting like terms, we have:

6n + 36 =
`180^(o)`

6n =
`180^(o)` - 36

6n =
`144^(o)`

divide both both sides by 6,

n =
`24^(o)`

Therefore,

m<EFG = 2n + 21

= 2 x
`24^(o)` + 21

= 48 + 21

=
`69^(o)`

m<GFH = 4n + 15

= 4 x
`24^(o)` + 15

= 96 + 15

=
`111^(o)`

Thus m<EFG =
`69^(o)`, and m<GFH =
`111^(o)`