∠A and ∠B are vertical angles. If m∠A=(7x-20)° and m∠B=(6x-1)°,then find the measure of ∠A.

Question

∠A and ∠B are vertical angles. If m∠A=(7x-20)° and m∠B=(6x-1)°,then find the measure of ∠A.

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Kiệt Gia 4 weeks 2021-08-19T13:51:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-19T13:52:26+00:00

    Answer: The measure of angle A is 113°

    Step-by-step explanation:

    7x  – 20 = 6x -1

       +20           +20

    7x =  6x + 19

    -6x    -6x  

    1x = 19  

    x = 19

    7(19) -20 =  113

    6(19) – 1 = 113  

    0
    2021-08-19T13:52:38+00:00

    It’s important to understand that vertical angles are always ≅.

    So we can say that the m<A = m<B.

    So we can setup the equation 7x – 20 = 6x – 1.

    Start by subtracting 6x from both sides and we have x – 20 = -1.

    Now add 20 to both sides to get x = 19.

    If x = 19, then the m<A is 7(19) – 20 or 133 – 20 which is 113.

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