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17. two parallel lines are cut by a transversal forming interior angles…

Question

  1. two parallel lines are cut by a transversal forming interior angles of 65 and 115 degrees respectively. what kind of angles are these?

congruent angles
right angles
complementary angles
supplementary angles

Explanation:

Step1: Recall the definitions

  • Congruent angles: Angles that have the same measure.
  • Right angles: Angles that measure \(90^{\circ}\).
  • Complementary angles: Two angles whose sum is \(90^{\circ}\).
  • Supplementary angles: Two angles whose sum is \(180^{\circ}\).

Step2: Calculate the sum of the given angles

Given angles are \(65^{\circ}\) and \(115^{\circ}\).

$$65 + 115=180$$

Answer:

Supplementary angles