Question

fill in the missing reasons for the proof of the theorem that all right - angles are congruent. given: ∠f and ∠g are right angles. prove: ∠f≅∠g statements 1) ∠f and ∠g are right angles. 2) m∠f = 90 and m∠g = 90 reasons 1) given 2)

Explanation:

Step1: Recall the definition of congruent angles

Two angles are congruent if they have the same measure.

Step2: Identify the measures of ∠F and ∠G

Given that \(m\angle F = 90\) and \(m\angle G=90\).

Step3: Apply the congruence - by - measure rule

Since \(m\angle F=m\angle G = 90\), by the definition of congruent angles, \(\angle F\cong\angle G\).

Answer:

The reason for statement (2) is "Angles with equal measures are congruent."