On a baseball field, home plate consists of three right angles and two other angles that are congruent. The three right angles are shown in the diagram as /, /, and /. The sum of the interior angles of a polygon can be found by using the formula (180n – 360)°, where n is the number of sides. Find the measure of the nonright angles.

A.

67.5°
B.

90°
C.

135°
D.

270°

Question

On a baseball field, home plate consists of three right angles and two other angles that are congruent. The three right angles are shown in the diagram as /, /, and /. The sum of the interior angles of a polygon can be found by using the formula (180n – 360)°, where n is the number of sides. Find the measure of the nonright angles.

A.
	
67.5°
B.
	
90°
C.
	
135°
D.
	
270°

anonymous · Answer

attachment

ankit042 · Answer

assume the angles to be x
2x+3*90 = 180*5-360

anonymous · Answer

135?

ankit042 · Answer

Yes!

ankit042 · Answer

did you understand how I made the equation?

anonymous · Answer

so the 2x was for the nonright angles and 3*90 was for the right angles A,B and C

ankit042 · Answer

Yes :)

anonymous · Answer

and the 180 *5 was for the 5 angles of the triangle ?

ankit042 · Answer

I used the formula for internal angle sum 180n – 360, n is number of sides which is 5

ankit042 · Answer

Hope its clear now

anonymous · Answer

Sure is thank you so much for your help

ankit042 · Answer

np :)