A fire hydrant bolt is
in the shape of a regular pentagon.
a. What is the measure of each
interior angle?
b. Why are fire hydrants made
this way?

Answer x = 33°y = 38°z = 109°explanations first you have to understand all properties of a parallelgram for you to answer this questions 1). opposite sides are parallel and equal, 2). interior opposite angles are equal. 3). if a diagonal drawn, is acts as a transvers to the opposite sides. solving for x the diagonal drown makes the angle 33 to be alternate to x. alternate angles are equal. so, x = 33o solving for y the angle 33, 109 and y makes the angles in a triangle from the diagram. angles in a triangle add up to 180. 33+109+y=180 y=180-(33+109) y=38° solving for z opposite interior angles in a parallelogram are equal. the angle 109 and z are opposite interior angles. so z = 109o