Question

1. Select the equations that are true.In the figure shown, lines f and g are parallel.1. Circle all equations that are true.32.A5/6A. m23+ m25 = 180 because they are a linear pair.B. m3 = m 25 because they are alternate interior angles.C. m3 = m2 2 because they are vertical angles.D. m2 2 + m 24 = 180 because they are a linear pair.E.m24 = m25 because they are alternate interior anglesF. m2 1 = m28 because m2.5 = m28 are vertical anglesand m21 = m25 are corresponding anglesG. m27 = m2 3 because they are corresponding angles.

Answer 1

A. m3 +m5 = 180 because they are a linear pair. FALSE/

They are not a linear pair, but they add 180 degrees, as m5 is equal to m1, that it is a linear pair with m3.

B. m3=m5 because they are alternate interior angles. FALSE.

They are not equal, unless they are both right angles.

C. m3 =m2 because they are vertical angles. TRUE.

D. m2 + m4 = 180 because they are a linear pair. TRUE.

E. m4 = m5 because they are alternate interior angles. TRUE.

F. m1 = m8 because m5 = m8 are vertical angles and m1 = m5 are corresponding angles. TRUE.

G. m7 = m3 because they are corresponding angles. TRUE