In triangle ABC, angles at A and C are 30 and 20 degrees, respectively. An interior cevian BD forms a 20-degree angle with BC. Prove that segments AD and BC are congruent.

Gentle angles meet,

Cevian whispers through lines-

Unity revealed.

Vocabulary | Description |
---|---|

Triangle ABC | A triangle where the angles at vertices A and C measure 30 degrees and 20 degrees, respectively. |

Angle A | The angle at vertex A of triangle ABC, measuring 30 degrees. |

Angle C | The angle at vertex C of triangle ABC, measuring 20 degrees. |

Cevian BD | An interior line segment BD drawn from vertex B, intersecting side AC, forming a 20 degrees angle with side BC. |

Angle with BC | The angle formed between cevian BD and side BC, which measures 20 degrees. |

Congruent Segments | Segments AD and BC are to be proven congruent, meaning they are equal in length. |

Geometry Problems

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Triangle

Angle

Isosceles Triangle

Congruence

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