Choose the two equations you would use to solve the absolute value equation below. then solve the two equations.
|x + 5| = 55
a. x + 5 = 55 and x + 5 = -55; {50, -60}
b. x + 5 = 55 and x + 5 = -55; {-50, -60}
c. x - 5 = 55 and x + 5 = -55; {60, -60}
d. x - 5 = 55 and x + 5 = -55; {-60, -60}

If m∠abc = 70°, what is m∠abd? justify your reasoning.  using the addition property of equality, 40 + 70 = 110, so m∠abd = 110°.  using the subtraction property of equality, 70 − 30 = 40, so m∠abd = 30°.  using the angle addition postulate, 40 + m∠abd = 70. so, m∠abd = 30° using the subtraction property of equality.  using the angle addition postulate, 40 + 70 = m∠abd. so, m∠abd = 110° using the addition property of equality.