Answer:
x = 58°
Step-by-step explanation:
Fact 1) Recall the fact that angles in a triangle add to 180°
Fact 2) Recall the fact that angles on a straight line add to 180°
The first angle we can work out is BAC using fact 2
114 + ? = 180
? = ( 180 - 114 )
? = 66
∠ BAC = 66
Now that we have angle BAC we can utilise the fact angles in a triangle add to 180°, so we can set this equation up
x + 66° + 56° = 180°
x + 122° = 180°
x = ( 180 - 122 )
x = 58°
