Answer: 10°
Step-by-step explanation:
Since the sum of the three angles equal 180°, then we say
(6x - 10°) + (4x + 6°) + (7x + 14°) = 180°
Open brackets and collect like terms
6x - 10°+ 4x + 6° + 7x + 14° = 180°
6x + 4x + 7x - 10° + 6° + 14° = 180°
17x + 10° = 180°
17x = 180° -10°
17x = 170°
To get x, divide both sides by 17
17x/17 = 170°/17
x = 10°
Thus, the value of X is 10°
