Angle Properties

If m<3 + m<4 = 180°, then <3 and <4 are supplementary.

• Def. of Complementary

• Supplement Theorem

• Def. of Supplementary

• Angle Addition Postulate

If <ABC & <DEF are complementary, then m<ABC + m<DEF = 90◦.

• Def. of Complementary

• Vertical Angle Theorem

• Complement Theorem

• Angle Addition Postulate

If m<ABC = 90°, then <ABC is a right angle.

• Complement Theorem

• Def. of a Right Angle

• Supplement Theorem

• Vertical Angle Theorem

If <5 and <6 form a linear pair, then <5 and <6 are supplementary.

• Def. of Angle Bisector

• Def. of Supplementary Angles

• Definition of a Perpendicular

• Supplement Theorem

• Definition of Perpendicular

• Angle Addition Postulate

• Vertical Angle Theorem

• Congruent Supplements Theorem

• Def. of Perpendicular

• Def. of Angle Bisector

• Def. of a Right Angle

• Complement Theorem

• Congruent Complement Theorem

• Angle Addition Postulate

• Congruent Supplements Theorem

• Vertical Angles Theorem

If  $\angle C\ \cong\angle D$  then  $m\angle C=m\angle D$  

• Def. of Angle Bisector

• Def. of Perpendicular

• Complement Theorem

• Def. of Congruence

If $\overrightarrow{XY}$  is an angle bisector, then  $\angle WXY\cong\angle YXZ$  

• Def of Supplementary Angles

• Def of Congruence

• Def of Angle Bisector

• Def of a Right Angle

If $\angle Q\ and\ \angle R\$ form a right angle, then  $\angle Q\ and\ \angle R$  are complementary.

• Supplement Theorem

• Complement Theorem

• Def of Supplementary Angles

• Def of Complementary Angles