Line a is parallel to line b. If themeasure of 27 is 114, what is themeasure of 24234615114 = 78b

Danizavtz asked Dec 24, 2023

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Danizavtz asked Dec 24, 2023

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28 votes

Notice that

$\measuredangle7+\measuredangle6=180^(\circ)$

then,

$\measuredangle6=180^(\circ)-114^(\circ)=66^(\circ)$

Now, since the lines are parallel

$\measuredangle6=\measuredangle4$

because they are alternate interior angles.

Answer:

$\measuredangle4=66^(\circ)$

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