Find the measurement of ∠ABE. Show all your work that leads to the final answer.

m∠ABE = 129 degrees

Step-by-step 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