Answer:
Reason
(1) The measure of an Inscribed angle is one-half of the measure of its intercepted arc
(2) Transitive Property
(3) Angles with equal measures are congruent
(4) The measure of the exterior angle of a triangle is equal to the sum of the measure of its remote interior angles
(5) Substitution
(6) Angle addition postulate
(7) Transitive property
(8) Angles with equal measures are congruent
(9) AA similarity theorem
10. Lengths of sides of similar triangles are proportional
(10) Multiplication property
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Answer:
Reason
(1) The measure of an Inscribed angle is one-half of the measure of its intercepted arc
(2) Transitive Property
(3) Angles with equal measures are congruent
(4) The measure of the exterior angle of a triangle is equal to the sum of the measure of its remote interior angles
(5) Substitution
(6) Angle addition postulate
(7) Transitive property
(8) Angles with equal measures are congruent
(9) AA similarity theorem
10. Lengths of sides of similar triangles are proportional
(10) Multiplication property