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12 votes
12 votes
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User Yosh
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2 Answers

26 votes
26 votes

The answer is Either B or C, But I'm going with ASA which is B.

explanation: congruent angles are about 48° they could be much more higher but in this case they aren't. And as you could see congruent angles aren't like that.

The rule is If two angles have the same measure then they are congruent.

Congruent angles are marked with the same number of "arcs".

Note: This picture isn't mine, it's an example of what a congruent angle could look like.

Hope this helps :)

Thank you come again-example-1
User Cezary Butler
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3.2k points
21 votes
21 votes

These triangles are congruent by the triangle congruence postulate ASA. Here option B is correct.

The Triangle Congruence Postulate ASA (Angle-Side-Angle) states that if two triangles have two corresponding angles and the included side congruent, then the triangles are congruent. In other words, the order of the corresponding elements in the triangles is angle, angle, side.

This postulate is based on the fact that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the third angle of each triangle must also be congruent due to the sum of angles in a triangle being 180 degrees.

For example, if in triangles ABC and DEF, angle A is congruent to angle D, angle B is congruent to angle E, and side AB is congruent to side DE, then by ASA, the triangles ABC and DEF are congruent. This congruence postulate is one of the fundamental tools in geometry for establishing the equality of geometric figures. Here option B is correct.

User Benjamin Baumann
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3.1k points