
What is the measure of angle HEI?
What is the measure of angle IEF?
What is the measure of angle HEG?
The measure of angle HEI is 30 degrees (vertical angles are congruent--this angle is equal to the one across the intersection).
The measure of angle IEF is 150 degrees (180 - 30).
The measure of angle HEG is 150 degrees (180 - 30).