Find the value of x. m∠FGH = 148° m∠FGL = (x + 12)° m∠LGH = (16x)°

x = 8

Explanation:

Given that:

m∠FGH = 148° ,

m∠FGL = (x + 12)°  and

m∠LGH = (16x)°

To find the value of x:

we add m∠FGL and m∠LGH to get m∠FGH

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° + 12° - 12°= 148°-12°

⇒ 17x° = 136°

Divide by 17 on both sides, we get

17x°/17 = 136°/ 17

⇒ x° = 8°

Answer is x=8.

Refer below for the explanation.

Explanation:

As per question,

m∠FGH = 148°

m∠FGL = (x + 12)°

m∠LGH = (16x)°

m∠FGL = m∠FGH+ m∠LGH

148= (x + 12) + (16x)

148=17x+12

17x=136

X= 136/ 17

X= 8