# What is the measure of angle VXY?

QUESTION POSTED AT 18/04/2020 - 07:57 PM

QUESTION POSTED AT 18/04/2020 - 07:57 PM

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°.

∠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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