Given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]
The angle measure where two perpendicular lines intersect each other equals 90 degrees.
Therefore, the angle formed as shown in the figure attached, where transversals r and s meet = 90 degrees.
Since lines n and p are parallel lines, therefore:
[tex]m \angle 1 + 90 = 141[/tex] (alternate interior angles are equal)
- Subtract 90 from each side
[tex]m \angle 1 = 141 - 90\\\\\mathbf{m \angle 1 = 51^{\circ}}[/tex]
Therefore, given the diagram given where lines n and p are parallel, and transversals r and s are perpendicular, the measure of angle 1 is: [tex]\mathbf{1) 51^{\circ}}[/tex]
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