Question

Find the measurement of angle I J G and write statements

Answer 1

m∠IKL = 59°, given

m∠EIJ = 59°, corresponding angle theorem (If two parallel lines are cut by a transversal, then

corresponding angles are congruent.)

m∠EIJ + m∠IJG = 180°, Consecutive Interior Angle Theorem (If two parallel lines are cut by a transversal, then, interior angles on the same side of the transversal are supplementary.

59° + m∠IJG = 180°, substitution

m∠IJG = 180° - 59° , subtraction property of equality

m∠IJG = 121°, simplify