Question

Find the measure of angle 1 & 2

Answer 1

angle 1 = 45 degrees, angle 2 = 90 degrees

Explanation:

For angle 1:

2 of the properties of a square are that it has 4 right angles (90 degrees) and the diagonals bisect the angles.

Angle BAD = 90 degrees

Ray AC bisects angle BAC. And by definition of bisection, angle 1 = 90/2 = 45 degrees

So angle 1 = 45 degrees

For angle 2:

Angle two is an angle of triangle BAE. Angles BAE and ABE are = 45 degrees because of what is stated above for angle 1.

Since the sum of the measure of the angles in a triangle is 180. We can solve for Angle 2 by doing 180 = 45 +45+ angle 2

180 = 90 + angle 2

angle 2 = 90 degrees