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

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

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°