Two parallel lines, e and f, are crossed by two transversals. What is the measure of <15? m<15 = 77° m<15 = 83° m<15 = 93° m<15 = 97°
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Answer:
The correct option is 4.
Step-by-step explanation:
Given information: [tex]e\parallel f[/tex] and [tex]\angle 10=97^{\circ}[/tex].
If a transversal line intersects two parallel lines, then alternate exterior angles are same.
In the given figure line e and f are parallel to each other. The transversal line d intersects the parallel lines.
Since angle 10 and angle 15 are alternate exterior angles, therefore
[tex]\angle 10=\angle 15[/tex]
[tex]97^{\circ}=\angle 15[/tex]
Therefore measure of angle 15 is 97 degrees and option 4 is correct.