#3**+2 **

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°

CPhill Apr 23, 2022

#4**0 **

75 degrees + (the angle next to the 75 degrees) = 180° -> the angle next to the degrees = 105°, so x must also be 105°

Babbeln Apr 23, 2022

#5**+1 **

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!!!

BuilderBoi Apr 25, 2022