Find Angle BAG: Complex Geometry with 90°, 95°, and 55° Angles

Angles A and D equals 90 degrees.

Angle DEB equals 95 degrees.

Angle BCE equals 55 degrees.

Calculate angle BAG based on the data in the figure.

Note that angle BAG is part of angle BAD.

Therefore, we can write the following equation:

$BAG+GAD=BAD$

From the data provided in the question, we know that angle A is equal to 90 degrees and angle GAD is equal to 50 degrees.

Let's now substitute the known values into the formula:

$BAG+50=90$

We'll then move like terms to one side, maintaining the appropriate sign:

$BAG=90-50$

$BAG=40$