Question

∠g and ∠i are complementary and ∠h and ∠g are complementary. complete the proof that ∠i ≅ ∠h.
1 ∠g and ∠i are complementary given
2 ∠h and ∠g are complementary given
3 m∠g + m∠i = 90°
4 m∠h + m∠g = 90° definition of complementary angles
5 m∠g + m∠i = m∠h + m∠g transitive property of equality
6 m∠i = m∠h properties of addition, subtraction, multiplication, and division
7 ∠i ≅ ∠h definition of congruence

Explanation:

Step1: Recall the definition of complementary angles

If two angles are complementary, the sum of their measures is \(90^{\circ}\). Since \(\angle G\) and \(\angle I\) are complementary, by the definition of complementary angles, \(m\angle G + m\angle I=90^{\circ}\).

Answer:

Definition of complementary angles