Question

Find the value of x.

Answer 1

Answer:D

Step-by-step explanation:I did it on usatestprep trust me.

Answer 2

Option D:

x = 8

Solution:

Given data:

m∠FGH = 148° , m∠FGL = (x + 12)°  and m∠LGH = (16x)°

To find the value of x:

m∠FGL + m∠LGH = m∠FGH

⇒ (x + 12)°  + (16x)° = 148°

⇒ x° + 12°  + 16x° = 148°

⇒ 17x° + 12° = 148°

Subtract 12° from both sides of the equation.

⇒ 17x° = 136°

Divide by 17 on both sides, we get

⇒ x° = 8°

⇒ x = 8

Option D is the correct answer.