Answer:
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:
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
