Question

Angle EOF and angle EOG are supplementary angles. What's the measure of angle EOF if the measure of angle EOG is 71°?

Answer 1

Answer:

supplementary angle sum = 180°

EOG + EOF = 180°

71° +EOF = 180°  

EOF = 180° -71°

EOF = 109°

Step-by-step explanation:

Answer 2

Answer:

m<EOF = 109 deg

Step-by-step explanation:

Definition of supplementary angles:

Two angles are supplementary if the sum of their measures is 180 degrees.

Angles EOF and EOG are supplementary, so the sum of their measures is 180 degrees.

m<EOF + m<EOG = 180

We are given the measure of <EOG: m<EOG = 71 deg.

We substitute that measure in our equation and solve the equation for m<EOF.

m<EOF + 71 deg = 180 deg

Subtract 71 deg from both sides.

m<EOF = 109 deg