Question

Complete the angle addition postulate for the following angle

Answer 1

Given:

A figure and an incomplete equation $m\angle GEM+m\angle MEO+m\angle \_\_$.

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 $\angle GEM$ and the second part is $\angle MEO$.

Using the angle addition postulate $\angle GEO$ is the sum of $\angle GEM$ and $\angle MEO$.

$m\angle GEM+m\angle MEO+m\angle GEO$

Therefore, the missing value is GEO and the complete equation is $m\angle GEM+m\angle MEO+m\angle GEO$.