The measure of angle ∠O in triangle ORH is 61°, and this is determined by the congruence of corresponding angles in the mapped triangles GFA and ORH after the reflection.
To find the measure of angle ∠O in triangle ORH, given that triangle GFA can be mapped onto triangle ORH by a reflection, we can use the property that corresponding angles are congruent after a reflection.
Let's denote the measure of angle ∠O as x.
Since GFA can be mapped onto ORH by a reflection, the corresponding angles in both triangles are congruent.
Therefore, m∠G in triangle GFA corresponds to m∠O in triangle ORH, and m∠F in triangle GFA corresponds to m∠R in triangle ORH.
Given that m∠G = 61° and m∠F = 7°, we can conclude that m∠O = m∠G = 61°.
Therefore, the measure of angle ∠O in triangle ORH is 61°.
The measure of angle ∠O in triangle ORH is 61°, and this is determined by the congruence of corresponding angles in the mapped triangles GFA and ORH after the reflection