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Is a || b ? Explain with angle measurements

Is a || b ? Explain with angle measurements-example-1

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Answer: No, lines 'a' and b are not parallel

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Step-by-step explanation:

We are given that line p is parallel to line q, which means angle 9 = angle 6 as they are alternate interior angles.

So angle 6 is 110 degrees. But this clashes with angle 8 being different at 70 degrees. Angles 6 and 8 must be congruent if we wanted lines 'a' and b to be parallel. Angles 6 and 8 are corresponding angles.

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