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3 June, 17:47

In the above figure, m∠AOC = 26° and m∠BOD = 2x + 32. If ∠AOC and ∠BOD are vertical angles, what is the value of x?

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  1. 3 June, 21:05
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    The value of x is - 3.

    Step-by-step explanation:

    It is given that the angles ∠AOC and ∠BOD are vertical angles. The vertical angles have same measure of angles. Therefore, ∠AOC is equal to ∠BOD.

    ⇒ 26° = 2x+32

    ⇒ 2x = 26-32

    ⇒ 2x = - 6

    ⇒ x = - 6/2

    ⇒ x = - 3

    Substitute x=-3 in ∠BOD = 2x+32

    ∠BOD = 2 (-3) + 32 = 26°
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