6. Both angles are 120 degrees.
Because it is symmetric we know that all of the points are the same. With the 30 degrees given we can draw a line to make 2 right triangles. We know that there are 180 degrees in a triangle so when we have a 30 degree side and a 90 degree side the other side muse be 60.
Since we have two right triangles we have 2 60 degree sides next to each other so it's 120 degrees for Y. The reason Z is 120 degrees is because you have a circle with 2 parts at 120 degrees which is 240. Since there are 360 degrees in a circle Z must also be 120 degrees.
7. I will do one of each for you, you can do the rest
First Box
Area= Side * Side or: (x+3)*X= A simplifies to X^2+3X= Area
Perimeter = 2*L + 2*W or 2(X+3) + 2x = P simplifies to 2x + 6 + 2x =P which simplifies to 4x + 6 = P
First Triangle
Area = H*B/2 (Height * Base/2) or x*(x+4)/2 simplifies to X^2+4x/2 =A
Perimeter = S+S+S or: X + X+4 +2X which simplifies to 4X+4=P
2. Parallelogram Area = B*H
So we have 4 * ?= 10
Divide both sites by 4 and ?= 2.5cm
