Answer:
141; B; C; A,B; 144
Explanation:
1. There are 7 sides on the figure. All 7-sided polygons (heptagons) have an interior angle sum of 900. When you write an equation you get:
125+122+131+126+107+148+x = 900.
When you isolate x on one side, you get:
x=900-759 --> x = 141
2.If QPSR is a parallelogram, then measure of angle Q = S.
When you plug in the values for Q and S, you get:
6x+13=7x-5, which means that 18 = x
The measure of angle Q is 6(18) + 13, which simplifies to 121 degrees.
Angle P + Q must equal 180 if QPSR is a parallelogram. 180 - 121 = 59.
B
3. If the figure is a parallelogram, 4a+1 = 2a+9 AND 6b = 11b-10
4a +1 = 2a +9 -->
2a = 8 -->
a = 4
6b = 11-10 -->
10 = 5b -->
2 = b
C
4. A, B (Laws of Parallelograms)
5. The sum of the interior angles is always 360 degrees. This means that each exterior angle on an n-gon = 36 degrees. Exterior angle + interior angle = 180. This makes 36 + interior angle = 180, which makes the interior angle equal to 144