How to Calculate the Measure of an Unknown Angle Easily

Learn simple steps to find the measure of an unknown angle using complementary and supplementary angle properties.

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To find the measure of an unknown angle, use the following steps: (1) Check for complementary angles, which sum to 90°. (2) Look for supplementary angles, which add up to 180°. (3) Use geometric properties of shapes like triangles, where the sum of angles is 180°. (4) Apply theorems like the exterior angle theorem in polygons. By employing these methods, you can deduce the unknown angle efficiently.

FAQs & Answers

  1. What is a complementary angle? A complementary angle is one that, when added to another angle, equals 90 degrees.
  2. What is a supplementary angle? A supplementary angle is one that, when combined with another angle, sums to 180 degrees.
  3. How do the angles in a triangle add up? The angles in a triangle always add up to 180 degrees.
  4. What is the exterior angle theorem? The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the two non-adjacent interior angles.

Watch More

For more insights into geometry and angle calculations, explore our videos on the properties of triangles and theorems in polygons.

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