Given:
A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].
To find:
The missing value for the given equation by using the angle addition postulate.
Solution:
A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].
Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].
[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]
Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].
