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In Geometry, there are several angle properties that we use to prove propositions. We can mention the most used properties.

Angles on a straight angle.

When we have angles on a straight or flat angle, we can say that those angles are supplementary, because they sum 180°.

Vertical Angles.

Vertical angles are known by their congruence. These angles are opposite to the common vertex. In other words, the share a vertex but not sides, and they are always congruent.

Alternate angles.

An important property is when we have angles about parallels which are cut by a transversal. In this scenario, the altenate angles are congruent, whereas they are interior or exterior alternate angles.

Co-interior angles.

This pair of angles inside parallels are supplementary, which means their sum is always 180°.

Corresponding angles.

Once again, when we have parallels cut by a transversal, the corresponding angles are always congruent, they are corresponding when they are at the same side of the transversal, but one is interior parallels and the other is exterior parallels.

The geometric properties associated with the angles  

  • The vertical opposite angles are a = d, b = c.
  • The angles are added to 180 degrees. Like a + b = 180°, a + c = 180°
  • The corresponding angles are equal.
  • Internal angles can be added to 180 degrees.
  • Alternative angles are equal.

Learn more about the properties involving angles.

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