∠XOB and ∠AOX are supplementary by the <u>definition of supplementary angles</u>.
Applying the <u>substitution property of equality</u>, then 2m ∠XOB = 180°
The blanks have been filled and the proof has been completed.
<h3>Proof of angles </h3>
From the question, we are to fill in the blanks to complete the proof
The proof can be completed as shown below
Since AOB forms a line segment, ∠XOB and ∠AOX are supplementary by the definition of supplementary angles. Using the definition of supplementary angles m ∠XOB + m ∠AOX = 180°. Since it is given that ∠XOB ≅ ∠AOX, then m ∠XOB = m ∠AOX. Applying the substitution property of equality, then 2m ∠XOB = 180°. After dividing m ∠XOB = 90°.
The blanks have been filled and hence, the proof has been completed.
Learn more on Proving angles here: brainly.com/question/17400232
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