Find the value of x. (The figure may not be drawn to scale.)

Question

Find the value of x. (The figure may not be drawn to scale.)

link to the image : drive.google.com/file/d/1qFoHGUh67aPg8KYBxcAhrN2pswp4yKdm/view?usp=sharing

Answer 1

OK. Use the properties of the intersected lines to determine the angles adjacent first. If you have an intersected line, the two angles formed will make 180 degrees, the supplement. This will allow you to fill in the interior angles of the irregular hexagon. These internal angles will sum up to be 720 degrees, as it is a hexagon. Hexagons are that way. From this you can calculate the internal angles near the unknowns. Then you can use the previous intersection rule to calculate x. Some simple, on-paper algebra may be necessary.