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

Question

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.

00:00 Find angle BAG

00:09 Angle A between points B and G

00:15 The entire angle equals the sum of its parts

00:35 Let's substitute the angle values and solve for angle BAG

00:51 Let's isolate angle BAG

01:03 And this is the solution to the question

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:

$BAG=90-50$

$BAG=40$