Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
2. Inductive and Deductive Reasoning
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Exercise 48 Page 458

Start by marking the angles you can identify from the equation.

Angle Addition Postulate

Practice makes perfect

Let's start by marking the three angles from the given equation, m∠DAC=m∠DAE+m∠EAB.

This equation tells us that the measure of ∠ DAC is equal to the sum of the measures of ∠ DAE and ∠ EAB. This is an example of the Angle Addition Postulate. Let's think about how this postulate can be applied to our situation.

If E is in the interior of ∠ DAC, then the measure of ∠ DAC is equal to the sum of the measures of ∠ DAE and ∠ EAB.

We can illustrate this on our diagram as well.