△EFG∼△LMN . If ∠E=40° and ∠M=95° , what is the measure of ∠G ?
To find the measure of ∠G, we will use the property of similar triangles:
The corresponding angles of similar triangles are equal in measure.
Therefore, we have:
∠E = ∠L = 40°
∠F = ∠M = 95°
We can now find ∠G:
∠E + ∠F + ∠G = 180° (sum of angles in a triangle)
40° + 95° + ∠G = 180°
135° + ∠G = 180°
∠G = 180° - 135°
∠G = 45°
Therefore, the measure of ∠G is 45°.