Pregunta
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  1. Two angles measure
    What is the measure of the third
    angle, ?

Ask by Schofield Vaughan. in the United States
Jan 29,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The measure of the third angle is .

Solución

To find the measure of the third angle in a triangle when the other two angles are and , you can use the fact that the sum of the interior angles in a triangle is always .
Step-by-Step Solution:
  1. Sum of Known Angles:
  2. Calculate the Third Angle :
Answer:
The measure of the third angle is .

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Bonus Knowledge

To find the measure of the third angle in a triangle, you can use the fact that the sum of all angles in a triangle is . Thus, you can calculate as follows:
First, add the given angles:
Then, subtract this sum from :
So, the measure of the third angle is .
Exploring the world of triangles, you might come across the fascinating concept of “triangle congruence,” which refers to the ability to determine if two triangles are identical in shape and size! This is often tested with the Angle-Side-Angle (ASA) criterion where if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.
In real life, understanding angles is crucial for various fields, like architecture and engineering, where the precision of angles can lead to well-structured buildings or bridges. A small miscalculation can lead to significant structural issues, making knowledge of triangle angles super important!

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