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Riya draws two parallel lines on her notebook and crosses them with a single ruler edge acting as a transversal. She measures one of the eight angles as 64°. She claims the angle vertically opposite to it and the angle corresponding to it are both also 64°.
Is Riya correct, and what is the measure of the co-interior angle on the same side as the 64° angle?

Class 9Parallel Lines and a TransversalGeometry — Lines and Angles
  • AYes; co-interior = 116°
  • BYes; co-interior = 64°
  • CNo; co-interior = 116°
  • DNo; co-interior = 26°

Step-by-Step Solution

Vertically opposite and corresponding angles equal 64°, so Riya is correct. The co-interior angle is supplementary: 180 - 64 = 116°.
Answer: A) Yes; co-interior = 116°

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