Proof

Label the given congruent angles x, and label the angle w as shown in Figure 3.7.

m∠G+x+w=180° because the angles
in the triangle with vertices________
sum to 180°.

iii. m∠L+x+w=180° because the angles
in the triangle with vertices__________
sum to 180°.

iv. Thus, m∠G=________
m∠L=_______
So, ∠G~=∠L.

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