29.	+Crook+Problems

Crook Problems

Crook problems are parties you' ll never forget

Step 1: Draw in a parallel line at the vertex of angle three. (Blue) Step 2: Outline the two Z’s (Black) Step 3: Find alternate interior angles, and consecutive interior angles. Find the alternate interior angle of 40 which is 40 and find the consecutive interior angle of 125 which is 55. (Red) Step 4: Angle 3 is being divided into 2 angles, so really, if you add the two together, you get the measure of the angle. 40 degrees plus 55 degrees would be 95 degrees. (Green)

Poleway

Another one of the 3 ways to solve this type of problem is using a Perpendicular line. The given information is drawn in black. To start off you are going to draw a line that is perpendicular to the top and bottom lines. This step is demonstrated in orange. The second step is drawn in red. Since you now have two separate triangles because of the perpendicular line, you can solve the unknown angles. Dealing with the bottom triangle first, the unknown angle is found because the two lines form a linear pair. 60 degrees is the supplement of 120 degrees. Now since you have the 90 degree angle, you can solve for the third angle. 60 + 90= 150. 150 - 180=30. Now dealing with the top triangle, there is only one missing angle measure. 55 is given and the 90 degree angle is given due to the perpendicular line. 55 + 90= 145. 145 – 180= 35. The last step you need to do is drawn in green. The three angles shown have to add up to 180 degrees because they form a line… 30 + 35 + x= 180, x=115. Marini

Given line l is Paralell to m Find the Measure of Angle 2 Step One: Draw in a parallel line through angle 2

Step Two: Fill in Alternate Interior angles

Step Three add the angles together, 35+55= 90 Measure of angle 2-90 Kahanec