Question

Find m∠FGL.

m∠FGH = 165°

m∠FGL = (x + 15)°

and m∠LGH = (9x)°

A) 20°

B) 25°

C) 30°

D) 35°

Answer 1

30 Degrees

C)

Explanation:

m∠FGL + m∠LGH = m∠FGH → (x + 15) + (9x) = 165 → x = 15

Therefore, m∠FGL = x + 15 = 15 + 15 = 30°

Answer 2

C)
`\displaystyle 30°`

Step-by-step explanation:

Use the Angle Addition Postulate to figure this out:

`\displaystyle m∠FGL + m∠LGH = m∠FGH`

165° = (x + 15)° + (9x)°

165° = (15 + 10x)°

- 15° - 15°

_____________

`\displaystyle (150°)/(10) = ([10x]°)/(10) \\ \\`

`\displaystyle 15° = x`[Plug this back into the modeled expression for the
`m∠FGL`to get the angle measure of 30°];
`\displaystyle 30° = m∠FGL`

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