What Are the Angles in an Equilateral Triangle?

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SUMMARY

An equilateral triangle has three equal angles, each measuring 60 degrees. To determine any angle within such a triangle, one can use the properties of right angles and the relationships between the angles. In this discussion, the angles DBA and ADB are computed to find angle i, confirming that all angles in an equilateral triangle are congruent and sum to 180 degrees.

PREREQUISITES
  • Understanding of basic triangle properties
  • Knowledge of angle relationships in geometry
  • Familiarity with right angles and their implications
  • Basic trigonometry concepts
NEXT STEPS
  • Study the properties of equilateral triangles in depth
  • Learn about angle bisectors and their applications
  • Explore the concept of supplementary angles in geometry
  • Investigate the use of trigonometric functions in triangle calculations
USEFUL FOR

Students studying geometry, educators teaching triangle properties, and anyone interested in understanding the fundamentals of equilateral triangles.

Googl
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Hi all,

How would you determine the angle i in the following equilateral triangle.

O-prism4.png


Thank you.
 
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Hi Googl! :smile:

First, find angle C. :wink:
 
If ABC and ADC are right angles then
Compute DBA
Compute ADB
Compute angle i
 

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