Question

Home plate on a baseball field has three right angles and two congruent angles. Find the measure of the two congruent angles

Answer 1

Hmm, I always thought it had 2 right angles, but I suppose the point that points to the catcher is a right angle

It looks like this

http://beaconathletics.com/store/images/products/301-675-859.jpg

If you know the measure of the interior angles of a n-gon (in our case, it is 5), you can do 3*90 + 2x = measure of interior angles of the pentagon

does that help?

Answer 2

Yeah that kind of helps would I just use that equation?

Answer 3

I looked online, and the formula is

((n-2)*180) = sum of interior angles

http://www.mathopenref.com/polygoninteriorangles.html

so the sum of the home plate should be 3(90) + 2(x) = ((5-2)*180))

I'll let you solve the rest!

Answer 4

Home Plate is a convex pentagon. The pentagon has an interior angle sum of 540.

540 - 3(90) = 540 - 270 = 270 for the sum of the remaining two congruent angles.
270/2 = 135 degrees for those two.