Go Geometry Problems

Geometry Problem 2: Proving Angle Measures in a Triangle with Congruent angles and Known Degree Measures, 10, 20, and 30 degrees. Level: High School, College, Math Education


In triangle ABC, it is given that angle BAO is congruent to angle OAC and both measure 20 degrees, angle ACO measures 10 degrees, and angle OCB measures 30 degrees. Prove that angle OBC measures 80 degrees using elementary geometry, such as Euclid's Elements.


Geometry problem 2 Triangle problem about triangle, angles


Geometry Problem 2

Amidst the angles set in triad,
BAO and OAC meet at 20 they said,
Ten degrees ACO owns,
While OCB has 30 degrees shown,
Prove now, OBC measures eighty, and let it be laid.


See solution below

Art of Geometry Problem 2 using Mobile Apps. Circle Patterns.

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids. A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers. See also the kaleidoscope of problem 2.

Art of problem 2 using mobile apps, iPad, iPhone

Geometric Art of problem 2

Geometric art of problem 2



See also:
Angle Bisector
Sketch of problem 2

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1-10 | Key theorems | Geometric Art: Mobile AppsEmail | 1-100 | Solution / comment | by Antonio Gutierrez

View or Post a solution.
Last updated: Sep 19, 2014

Geometry Problem 2 Solution(s)