Answer:
m∠ABE = 129 degrees
Explanation:
360 degrees = max/total degrees in a circle
Given angles = 65 degrees & 37 degrees
Unknown/congruent angles = m∠ABE & m∠DBC
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That was just information for the shape!
Now let’s get into the question.
Question: Find the measurement of m∠ABE
65 + 37 + m∠ABE + m∠DBC = 360 degrees
Add 65 and 37
102 + m∠ABE + m∠DBC = 360 degrees
Subtract 102 from 360 degrees
m∠ABE + m∠DBC = 258 degrees
Divide 258 in half
m∠ABE & m∠DBC = 129 degrees
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Therefore m∠ABE = 129 degrees