Question

If m∠FGK=5w + 5, m∠HGK= 4w + 8, and m∠FGH= 130, find w.

A. 13

B. 15

C. 3

D. 12

Answer 1

The answer is A. 13.



Hope this helps :)

Answer 2

Option A

`w=13\°`

Explanation:

we know that

m∠FGK=
`5w+5`

m∠FGK=
`x`

so

`x=5w+5` ------> equation A

m∠HGK=
`4w+8`

m∠HGK=
`y`

so

`y=4w+8` ------> equation B

m∠FGH=
`130\°`

m∠FGH=
`x+y`

so

`x+y=130\°` -----> equation C

Substitute equation A and equation B in equation C

`[5w+5]+[4w+8]=130\°`

solve for w

`[9w+13]=130\°`

`9w=(130-13)\°`

`w=(117)\°/9`

`w=13\°`