Based on the angles addition theorem, the measure of the original angle = 44°.
<h3>What is the Angles Addition Theorem?</h3>
The angles addition theorem states that if an angle is bisected to form two smaller angles, then the sum of the measures of the two smaller angles equals the measure of the original angle that is bisected.
Given that the two smaller angles formed when bisected are: (3+30)° and (5+6)°. Based on the angles addition theorem:
The measure of the original angle = (3+30)° + (5+6)°
The measure of the original angle = 33° + 11°
The measure of the original angle = 44°
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The answer is 6. Hopefully this helped!!
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