Angle θ, which is angle DFE in triangle DFE, is calculated to be 55 degrees after considering that angle DGE is a right angle and angle DEF is 35 degrees.
To find the measure of angle θ, which is angle DFE in triangle DFE where angle DGE is a right angle, we can use the fact that the sum of angles in a triangle is 180 degrees. Since we know that angle DEF is 35 degrees and angle DGE is 90 degrees, we can calculate angle θ as follows:
Sum of angles in a triangle = 180 degrees.
Angle DFE = 180 - angle DEF - angle DGE.
Angle DFE = 180 - 35 - 90 = 55 degrees.
Therefore, angle θ is 55 degrees.