What is the geometric property of these 2 angles being equal?

In summary, congruence is the geometric property of two angles having the same measure. To determine if two angles are equal, you can measure them with a protractor. Two equal angles are important in geometry for solving problems and determining congruent shapes. The difference between equal and congruent angles is that congruent angles also have the same shape. Two angles can be congruent even if they are in different orientations as long as they have the same measure and shape.
  • #1
Lebombo
144
0


At time 2:20, the woman says, "Using trigonometry, we know that this angle is the same as this angle."

Which trigonometry or geometry property is she referring to that is needed in order to determine those two angles are equal? Is there a name for it? I don't have a geometry book, but I am interested in learning about it. Any information would be helpful.

Thank you.
 
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  • #2
The sum of the angles in a triangle is 180. a+23.5+90=180 a=66.5
Then a+θ=90 66.5+θ=90 θ=23.5
 
  • #3
ah, thanks
 

Related to What is the geometric property of these 2 angles being equal?

What is the geometric property of these 2 angles being equal?

The geometric property of two angles being equal is called congruence. This means that the angles have the same measure and are therefore identical in size and shape.

How can I determine if two angles are equal?

To determine if two angles are equal, you can use a protractor to measure their angles. If the measured angles are the same, then they are equal.

What is the significance of two angles being equal in geometry?

Two equal angles are important in geometry because they have equal measures and can help in solving problems involving angles, such as finding missing angles in a shape or determining congruent shapes.

What is the difference between equal angles and congruent angles?

Equal angles and congruent angles are often used interchangeably, but there is a subtle difference. Equal angles have the same measure, while congruent angles have the same measure and shape.

Can two angles be congruent if they are in different orientations?

Yes, two angles can be congruent even if they are in different orientations. As long as they have the same measure and shape, they are considered congruent.

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