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A same side interior angle of two parallel lines is 20° less than the other same side interior angle. Find the measures of these two angles.

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snog

Answer:

Same side interior angles are supplementary, meaning they add up to 180°. We can call the two angles x° and (x + 20)° and we can write the equation:

x + x + 20 = 180

2x + 20 = 180

2x = 160

x = 80 which means the angles are 80° and 80 + 20 = 100°.

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