Angle eof and angle eog are supplementary angles. what's the measure of angle eof if the measure of angle eog is 71°?

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

step-by-step explanation:

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