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30 June, 21:37

Figure VWYX is a kite.

What is the measure of angle VXY?

(18x - 2)

720

740

106°

108°

(12x + 2)

+4
Answers (1)
  1. 30 June, 23:08
    0
    We need to solve for the angle VXY and it is equivalent to (18x - 2) °. We all know that the total angle of the given figure is 106°, 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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