PLEASE HELP! m∠EFG=85° and m∠2=27° Find the measure of angle 1. Show your work


Let the angle be x, so that
x + 27° = 85°
or, x = 85 - 27 = 58°
EG = 75
EF = 28
FG = EG - EF = 75 - 28 = 47
angle DEF is an acute angle because it's measure is more than 0° but less than 90°.
angle ABC is an obtuse angle because it's measure is less than 180° but greater than 90°.
angle XYZ is an acute angle because it's measure is more than 0° but less than 90°.
angle PQR is an acute angle because it's measure is less than 90° but greater than 0°.
angle STU is an obtuse angle because it's measure is less than 180° but greater than 90°.
angle MNO is an obtuse angle because it's measure is less than 180° but greater than 90°.