Using the angle addition theorem, the measure of angle 2 in the given diagram is: m∠2 = 35°
What is the Angle Addition Theorem?
Based on the angle addition theorem, the sum of two smaller angles that make up a bigger angle equals the sum of the bigger angle.
Given the following:
m∠EBC = m∠EBD + m∠2 [angle addition theorem]
Substitute
55 = 20 + m∠2
m∠2 = 55 - 20
m∠2 = 35°
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