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Solving Angles and Measurements in Geometric Diagrams

This article discusses the calculation of unknown angles in geometric shapes, particularly focusing on a configuration where VX, VZ, and WVZ sum to 150°. It also addresses another scenario involving the angles in a straight line with points E, F, and G, where given angles lead to finding the value of angle m9. Detailed step-by-step solutions are provided for each case, facilitating a better understanding of angle relationships and properties in geometry.

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Solving Angles and Measurements in Geometric Diagrams

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  1. 5x° 4x° What is the value of each angle in the diagram?

  2. In the figure below, VX VZ , and WVZ = 150°.What is the measure of WVX?

  3. In the figure below, FK FJ , and points E, F, and G lie on the same line.If m 8 = 32° and m 8 = m 6, what is the m 9?

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