Answer:
x = 26
Step-by-step explanation:
The sum of the measures of the angles of any triangle must add up to 180°. Given that one angle is 'x', one angle is '4x -5', and the third angle is 55°, we can set the sum of all three angles equal to 180°:
x + 4x - 5 + 55 = 180
Combine like terms: 5x + 50 = 180
Subtract 50 from both sides: 5x + 50 - 50 = 180 - 50 or 5x = 130
Divide both sides by 5: 5x/5 = 130/5
Solve for 'x': x = 26°
