Answer:
Step-by-step explanation:
first, since all of the sides are equal, the angles are equal too. in order to find the missing variable, y, we need to make the two equations equal to each other.
5y - 3 = 3y + 27
then, we solve this one. first, we move the terms.
5y - 3y = 27 + 3
then, we collect the like terms.
2y = 30
so, y = 15.
now, we can insert 15 in for y on angle a.
5(15) - 3
that calculates to 72. so, the measurement for angle A is 72 degrees.
now we need to find angle B. we know that there are 360 degrees inside of a parallelogram. so, we subtract 144 from the 360. (since both given angles are the same, they add up to 144. we subtract that from the total, in order to find the other angles.)
360 - 144 = 216
then, we divide 216 by 2, in order to find the two separate angles.
216 / 2 = 108. so, the measurement for angle B is 108 degrees.
