Observe the figure clearly.
Statement 1: [tex]m \angle CAD = (2x+15)^\circ, m \angle DAB = (3x+19)^\circ, m \angle CAB = 94^\circ[/tex]
Reason 1: Given
Statement 2: [tex]m \angle CAD + m \angle DAB = m \angle CAB[/tex]
Reason 2: Angle addition postulate
Statement 3: [tex]2x+15+3x+19 = 94[/tex]
Reason 3: Substituting the values of the measures of the given angles.
Statement 4: [tex]5x + 34 = 94[/tex]
Reason 4: Addition of the like terms
Statement 5: [tex]5x = 60[/tex]
Reason 5: Subtraction property of equality
Statement 6: [tex]x = 12[/tex]
Reason 6: Division property of equality
