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Find the measure of each angle in the diagram.

7. Find the measure of each angle in the diagram.

Answer

To find the measure of each angle, we need to solve for the variables in the expressions given for each angle. The angles are given as:

  1. 10y°
  2. (3y + 11)°
  3. (4x - 22)°
  4. (7x + 4)°

Since the angles form a complete circle, their sum should be 360°.

Equation: 10y + (3y + 11) + (4x - 22) + (7x + 4) = 360

Simplify and solve for y and x:

  1. Combine like terms: 10y + 3y + 11 + 4x - 22 + 7x + 4 = 360
  2. 13y + 11x - 7 = 360
  3. 13y + 11x = 367

Without additional information, we cannot solve for the exact values of x and y. However, if we assume the angles are equal, we can set up the following:

  1. 10y = 3y + 11 = 4x - 22 = 7x + 4

Solving these equations individually will give specific values for x and y, which can then be used to find the measure of each angle.

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