Question

In the game of baseball, home plate is a pentagon.What is the measure of the angle at the bottom of home plate?A. 60°B. 90°C. 120°D. 135°

Answer 1

Step-by-step explanation

Since the figure is like a pentagon, we need to add the interior angles in order to get the needed angle.

The first part of the figure is composed of a square with two right angles of 90 degrees and two angles of 135, making a total of 90+90+135+135 = 450 degrees.

The left needed angle should add a total of 540 degrees, by the Sum of Interior Angles of a Pentagon Theorem, as follows:

450 + bottom angle = 540

Subtracting -450 to both sides:

bottom angle = 540 - 450

Subtracting angles:

bottom angle = 90 degrees

In conclusion, the value of the bottom angle is 90 degrees.