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

Question

It is known that angles A and D are equal to 90 degrees

Angle DEB is equal to 95 degrees

Angle BCE is equal to 55 degrees

Complete the value of angle BAG based on the data from 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 given in the question, we know that angle A is equal to 90 degrees, and angle GAD is equal to 50.

Let's substitute the known values into the formula:

$BAG+50=90$

We'll move terms to one side and maintain the appropriate sign:

$BAG=90-50$

$BAG=40$