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2 years ago

Fill in the blanks to complete the proof.

Mathematics

1 answer:

Marat540 [252]2 years ago

6 0

∠XOB and ∠AOX are supplementary by the definition of supplementary angles.

Applying the substitution property of equality, 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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