Question

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

Answer 1

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)`