∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.

Question

∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.

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bonexptip 5 years 2021-08-19T12:23:52+00:00 2 Answers 25 views 0

Answers ( )

  1. thongdat2
    0
    2021-08-19T12:24:57+00:00
    Reply

    Hello there! 🙂

    \huge\boxed{x = 21}

    Vertical angles are congruent, therefore:

    ∠A ≅ ∠B

    3x – 30 = 2x – 9

    Subtract 2x from both sides:

    3x – 2x – 30 = 2x – 2x – 9

    x – 30 = -9

    Add 30 to both sides:

    x – 30 + 30 = -9 + 30

    x = 21.

  2. Latifah
    0
    2021-08-19T12:25:30+00:00
    Reply

    Answer:

    x = 21

    Step-by-step explanation:

    Vertical angles are congruent, thus

    ∠ A = ∠ B , substitute values

    3x – 30 = 2x – 9 ( subtract 2x from both sides )

    x – 30 = – 9 ( add 30 to both sides )

    x = 21

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