Question

∠u and ∠t are complementary and ∠t and ∠v are complementary. complete the proof that ∠u≅∠v.

statement	reason
2	∠t and ∠v are complementary	given
3	m∠u + m∠t = 90°	definition of complementary angles
4	m∠t + m∠v = 90°	definition of complementary angles
5	m∠u + m∠t = m∠t + m∠v	transitive property of equality
6	m∠u = m∠v	properties of addition, subtraction, multiplication, and division
7	∠u≅∠v

Explanation:

Step1: Recall angle - equality definition

If two angles have the same measure, they are congruent. Since \(m\angle U=m\angle V\) (from step 6), by the definition of congruent angles, if the measures of two angles are equal, the angles are congruent.

Answer:

Definition of congruent angles