Find the value of x in each case:

x=19°

Step-by-step explanation:

Angles  ∡DBE ≅ ∡ACD= 3x  reason - angles with parallel arms

Angles ∡ADC and ∡ADB=95° are supplemental angles which means

∡ADC + ∡ADB=180° => ∡ADC = 180° - ∡ADB= 180°-95°= 85°

In the triangle we have ∡ADC + ∡ACD + ∡CAD = 180° =>

85 + 3x + 2x = 180 => 85 + 5x = 180 => 5x= 180-85 => 5x=95

x=95/5 => x=19°

Good luck!!!