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One of the same side interior angles of two parallel lines is 70° greater than the other same side interior angle. Find the

measures of the two angles.

1 Answer

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Final answer:

One of the angles is 55° and the other angle is 125°.

Step-by-step explanation:

Let's assume that one of the same side interior angles is x°. According to the given information, the other same side interior angle is 70° greater than x°, which means it is x + 70°.



Since the two lines are parallel, the same side interior angles are supplementary, which means they add up to 180°.



So, we can write the equation:



x + (x + 70°) = 180°



Simplifying the equation, we get:



2x + 70° = 180°



Subtracting 70° from both sides, we get:



2x = 110°



Dividing both sides by 2, we get:



x = 55°



Therefore, one angle is 55° and the other angle is 55° + 70° = 125°.

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