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

Answer:

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°

_____________

$\displaystyle \frac{150°}{10} = \frac{[10x]°}{10}$

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

I am joyous to assist you anytime.

Answer 2

Answer:

30 Degrees

C)

Step-by-step explanation:

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

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