Answer:
11. (2,6)
12. (1,1)
13. 50deg, 130deg, 50deg, 130deg
Explanation:
11. If you plot the given points on your graph you can see that you are given a long and short side of the parallelogram, you know that the second long side should be parallel to the one you have drawn and the same for the short sides.
12. using the same logic as for #11, you have two sides of the parallelogram and want the fourth vertice to finish the remaining 2 sides which will be parallel to their corresponding sides.\
13. To calculate the measures of the angles in the parallelogram, you will use your total interior angle sum of a parallelogram (which is 360deg) and will use a variable to simplify and then solve the angles.
- You know that one angle is 30 more than double of another angle so your equation for that angle will be (2x+30) where x=the other angle.
- Now to solve for the angles you will include all four angles in terms of variables and make them equal to the 360deg: 2(x)+2(2x+30)=360
- when you carry the 2 into the brackets you will now have: 2x+4x+60=360,
- collect the like terms and move all the constants to the right side of the equal sign : 6x=360
- divide both sides by 6 to get the value of x: x=50deg
- Now you have the value for one of the 2 angle, to find the other just plug your x value into your equation "2x+30": 2(50)+30=130
Since a parallelogram has 2 sets of equal angles you know all the angles now since 2 of them will be 130deg and the other 2 of them will be 50deg.