For the given decision algorithm, find how many outcomes are possible. HINT [See Example 1.] Step 1: Step 2:

Alternative 1: 1 outcome Alternative 1: 5 outcomes

Alternative 2: 4 outcomes Alternative 2: 3 outcomes

Alternative 3: 4 outcomes

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.