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

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  1. 20 July, 00:35
    0
    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
  2. 20 July, 00:39
    0
    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°
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