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In a diagram showing two parallel lines cut by a transversal, the measure of two same-side interior angles are both given as 5x°.

Without writing and solving an equation, can you determine the measures of both angles? Explain.
Because same-side interior angles are , and because these two angles are equal, each angle must be one-half of °, or each angle must have a measure of °.

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In a diagram showing two parallel lines cut by a transversal, the measure of two same-example-1
User JPLemme
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1 Answer

6 votes

Answer:

See below.

Explanation:

Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.

User Pius Uzamere
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