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Find measure of the angle or arc indicated help?

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  • 2 months ago

    21x - 2 + 38x + 5 = 180

    59x + 3 = 180

     59x = 180 - 3

    59x = 177

     x = 3

    then

    21x - 2 = 21(3) - 2 = 61 ° x 2 = 122°

    38x + 5 = 38(3) + 5 = 119°

    mFGH = 360 - 122 = 238 ° answer//

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  • 2 months ago

    When the 4 points of a quadrilateral are on a circle, the opposite angles are supplementary (add to 180°)

    21x - 2 + 38x + 5 = 180

    59x + 3 = 180

    59x = 177

    x = 177/59

    x = 3

    From that we can figure out angle FAH:

    38(3) + 5

    = 114 + 5

    = 119°

    And the subtended arc FGH would be twice as much.

    arc FGH = 2 * 119° = 238°

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