Question

Complete the missing reasons in the proof shown below.

Answer 1

Observe the figure clearly.

Statement 1:
`m \angle CAD = (2x+15)^\circ, m \angle DAB = (3x+19)^\circ, m \angle CAB = 94^\circ`

Reason 1: Given

Statement 2:
`m \angle CAD + m \angle DAB = m \angle CAB`

Reason 2: Angle addition postulate

Statement 3:
`2x+15+3x+19 = 94`

Reason 3: Substituting the values of the measures of the given angles.

Statement 4:
`5x + 34 = 94`

Reason 4: Addition of the like terms

Statement 5:
`5x = 60`

Reason 5: Subtraction property of equality

Statement 6:
`x = 12`

Reason 6: Division property of equality