+129852 We are not told that the two lines are parallel
In the larger triangle formed, the angles are 75 - 50 - 55
And in the smaller triangle formed the angles are 50 - 55 - 75
By the Exterior Angle Theorem , x = 55 + 50 = 105°
+58 75 degrees + (the angle next to the 75 degrees) = 180° -> the angle next to the degrees = 105°, so x must also be 105°
+2668 The angle opposite to 75 is 75.
The angle opposite to the 50 is 50.
The remaining angle in the triangle is 55 degrees.
The angle opposite to that is 55 degrees.
The angle opposite to the 50 is 50 degrees
The angle that is next to x is 75
So x = 180 - 75 = 105
Just as Chris found!!!
