Geometry Problem 1577: Prove AB Equals BD Plus CD in Triangle ABC with Given Angles 20, 30, 40 Degrees and Congruent Segments

Challenging Geometry Puzzle: Problem 1577. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

Gain comprehensive insights! Click below to reveal the complete details.

Click for additional details.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Geometry Problem 1576: Congruency of Segments in Triangle ABC with Angles 30 and 20 Degrees and an Interior Cevian

Challenging Geometry Puzzle: Problem 1576. Share your solution by posting it in the comment box provided.
Audience: Mathematics Education - K-12 Schools, Honors Geometry, and College Level.

Gain comprehensive insights! Click below to reveal the complete details.

Click for additional details.

Share your solution by clicking 'Comment' below the post or entering your solution or comment in the 'Enter Comment' field and pressing 'Publish'.

Geometry Problem 1341: Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector

Geometry Problem. Post your solution in the comment box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Details: Click on the figure below.

Zoom

Geometry Problem 1152: Triangle, Quadrilateral, Angle, 10, 20, 30 Degrees

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

This entry contributed by Sumith Peiris, Moratuwa, Sri Lanka.
Click the diagram below for more details.

Zoom and details

Geometry Problem 992: Triangle, Interior Point, Angles, 20, 30 , 40, 50 Degree

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view the complete problem 992

Zoom

Geometry Problem 964: Right Triangle, Cevians, Angles, 10, 20, 30 Degrees

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 964.

Zoom

Problem 691: Isosceles Triangle, 80-80-20 Degrees, Angles, Congruence, Mind Map, Polya

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 691.

Zoom

Problem 688: Triangle, Angles, 10, 20, 30, 40, 60 Degrees, Measure, Mind Map, Polya

Geometry Problem
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to see the complete problem 688.

Zoom

Geometry Problems 351 - 360

Ten Geometry Problems
Click the figure below to see problems 351-360 about Rhombus, Common tangent, Tangential quadrilateral, Incircle, Inradii, 45 Degrees, Concyclic, Circle, Square, Area, Triangle, 80-80-20 Degrees.

Read more

Level: High School, SAT Prep, College geometry

Geometry Problems 271-280: Circle, Quadrilateral, Square, Tangent, Cube, Triangle, Isosceles, Area, 90-80-80-20 Degrees, Circumcircle, Sagitta, Inradi

Ten Geometry Problems
Click the figure below to see problems 271-280 about Circles, Tangent, Cube, Triangle, Isosceles, Area, 80-80-20 Degrees, Circumcircle, Sagitta, Inradius, Square, 90, Chord, Quadrilateral, Perpendicular.

Read more

Level: High School, SAT Prep, College geometry

Isosceles Triangle 20-80-80

Theorems and Problems about the isosceles triangle 20-80-80.
Click the figure below to see the index.




Read more at:
Isosceles Triangle 20-80-80

Geometry Problem 425: Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence

Proposed Problem
Click the figure below to see the complete problem 425 about Quadrilateral, Triangle, Angles, 10, 20, 50 degrees, Congruence.


See also:
Complete Problem 425

Level: High School, SAT Prep, College geometry

Problem 409: Quadrilateral, Diagonals, Perpendicular, Congruence

Proposed Problem
Click the figure below to see the complete problem 409 about Quadrilateral, Diagonals, Perpendicular, Congruence.


See also:
Complete Problem 409
Level: High School, SAT Prep, College geometry

Problem 358. Isosceles triangle 80-80-20, Circle, Angles, Congruence

Proposed Problem
Click the figure below to see the complete problem 358 about Isosceles triangle 80-80-20, Circle, Angles, Congruence.


See more:
Complete Problem 358
Level: High School, SAT Prep, College geometry

Problem 274: Isosceles Triangle, 80-80-20, Angles

Proposed Problem
Try to use elementary geometry (Euclid's Elements.)


See complete Problem 274 at:
gogeometry.com/problem/p274_isosceles_triangle_80_80_20_angles.htm

Level: High School, SAT Prep, College geometry

Langley s Problem, 'Adventitious Angles'

Isosceles triangle 20-80-80
The famous Langley problem is a type of problem called "Adventitious Angles" problem because it is a matter of chance that we will be able to solve this problem. It appears to be an easy problem, but it is deceivingly difficult. Level: High School, SAT Prep, College geometry.


Continue reading at:
gogeometry.com/LangleyProblem.html