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5 October, 19:47

Figure vwxy is a kite what is the measure of angle vxy? (18x-2) (12x+2)

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  1. 5 October, 22:22
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    We need to solve for the angle VXY and it is equivalent to (12x + 2) °. We all know that the total angle of the given figure is 360°, so by adding the angles of the four sides, we can solve for the value of x. The solution is shown below:

    ∠WVX + ∠VXY + ∠XYW + ∠YWV = 360°

    Substituting their values, we have:

    90° + (12x + 2) ° + 90° + (18x - 2) ° = 360°

    Perform addition and subtraction

    90 + 12x + 2 + 90 + 18x - 2 = 360

    30x + 180 = 360

    Transpose 180 to the right side such as:

    30x = 360 - 180

    30x = 180

    Solve for x, we have:

    x = 180 / 30

    x = 6

    Solving for the angle VXY, we have:

    ∠VXY = 12X + 2 = 12 (6) + 2

    ∠VXY = 74°

    The answer is 74°.
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