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

Line A Is Parallel To Line B If Themeasure Of 27 Is 114 What Is Themeasure Of 24234615114 78b class=

Sagot :

Notice that

[tex]\measuredangle7+\measuredangle6=180^{\circ}[/tex]

then,

[tex]\measuredangle6=180^{\circ}-114^{\circ}=66^{\circ}[/tex]

Now, since the lines are parallel

[tex]\measuredangle6=\measuredangle4[/tex]

because they are alternate interior angles.

Answer:

[tex]\measuredangle4=66^{\circ}[/tex]

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