Beams BD and BE are drawn inside the angle ABC, angle ABE = 75 degrees angle DBC

Beams BD and BE are drawn inside the angle ABC, angle ABE = 75 degrees angle DBC = right angle angle DBE 35 degrees Find the degree measure of angles ABD and EBC.

Before making a decision, you need to make a drawing, indicate the known data.

Let’s take a closer look at all the angles: the ABE angle consists of two angles, the ABD angle and the DBE angle.

And since the angle ABE = 75 °, and the angle DBC = 35 °, then we calculate the degree measure of the angle ABD:

ABD = ABE – DBE = 75 ° – 35 ° = 40 ° is the ABD angle.

The DVS angle consists of two angles: the DBE angle and the EBC angle. Since the entire angle is DBC = 90 °, and the angle is DBE = 35 °, we calculate the value of the angle EBC:

EBC = DBE – DBC = 90 ° – 35 ° = 55 ° is the EBC angle.

Answer: angle ABD = 40 °, angle EBC = 55 °.