x = 25
The 3 angles are marked as equal , indicated by the arc at each angle.
Thus Δ ABC is equilateral with all 3 sides equal
Equate any 2 sides to solve for x
4x - 30 = 3x - 5 ( subtract 3x from both sides )
x - 30 = - 5 ( add 30 to both sides )
x = 25
As a check :
4x - 30 = ( 4 × 25 ) - 30 = 100 - 30 = 70
3x - 5 = ( 3 × 25 ) - 5 = 75 - 5 = 70
2x + 20 = ( 2 × 25 ) + 20 = 50 + 20 = 70
All 3 sides are equal for x = 25
