or
∠
E
and
∠
G
are complementary and
∠
F
and
∠
E
are complementary. Complete the proof that
∠
F
∠
G
.
StatementReason
1
∠E and ∠G are complementaryGiven
2
∠F and ∠E are complementaryGiven
3
measure of angle E plus measure of angle G equals 90 degreesDefinition of complementary angles
4
measure of angle F plus measure of angle E equals 90 degrees
5
measure of angle E plus measure of angle G equals measure of angle F plus measure of angle ETransitive Property of Equality
6
measure of angle F equals measure of angle GProperties of addition, subtraction, multiplication, and division
7
∠F is congruent to ∠GDefinition of congruence
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Skill IconC.3Identify complementary, supplementary, vertical, adjacent, and congruent angles
Skill IconC.4Properties of equality