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find the angle measures below. m∠abe = 64° m∠teb = 64° m∠fed = m∠gtu = …

Question

find the angle measures below.
m∠abe = 64°
m∠teb = 64°
m∠fed =
m∠gtu = 101°
m∠tum = 79°
m∠sum = 101°

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle ABE$ and $\angle FED$ are vertical angles.

Step2: Determine the measure of $\angle FED$

Since $\angle ABE = 64^{\circ}$, then $m\angle FED=64^{\circ}$ because vertical angles are congruent.

Answer:

$64$