Question

Charlotte divided a whole pizza into 4 pieces. One piece formed a straight angle. One piece formed a right angle. Two pieces formed acute angles with the same degree measure. Write an equation that represents the degree measure of the whole pizza as the sum of the measures of its parts?

Answer 1

we know that
whole pizza is 360°-------> 100%
a straight angle-------> 180°-----> 50%-----> 1/2
a right angle---------> 90°------> 25%---> 1/4
Two pieces formed acute angles with the same degree measure
=[360-(180+90)]/2------> 45° each piece-----> 12.5% each piece---> 1/8 each

Part a) Write an equation that represents the degree measure of the whole pizza as the sum of the measures of its parts

Let
x=360°
x=(1/2)x+(1/4)x+(1/8)x+(1/8)x