Grades 9-10 Video Solutions 2013-Level 9&10 Video Solutions 2013 problem23

Level 9&10 Video Solutions 2013 problem23

Video Transcription

Video Summary

The problem involves finding the smallest integer value of M for a set of isosceles triangles sharing a common vertex, where the angles at the vertex are M, 2M, 3M, etc., summing up to 360 degrees among five triangles. By factoring 720 to find the largest consecutive integers that fit the equation, the solution identifies K and K+1 as 15 and 16, respectively. This results in M, the smallest possible angle measure, being 3 degrees. Thus, the minimum value of M that allows the configuration is 3.

Keywords

isosceles triangles

smallest integer M

vertex angles

angle summation

minimum angle