Answer:
x = 109 degrees.
Step-by-step explanation:
The angle opposite the 45 degrees = 45 degrees (vertical angles)
Also the angle opposite to the 75 degree angle = 75 degrees for the same reason.
Now if we take the triangle on the left. the bottom right angle
180 - 75 - 45 = 60 degrees ( because the angles in a triangle sum to 189 degrees.
Next we find the left bottom angle of the triangle on the right.
This is 180 - 60 - 79 = 41 degrees (because these 3 angles are on the same straight line).
Finally x = 41 + 68 = 109 degrees ( external angle of a triangle theorem).
