Line r cuts a pair of parallel lines. One of the eight angles created measures 90°. Which statements about the angles are true? A. All the angles are congruent. B. Only four of the angles measure 90°. C. All the angles are right angles. D. Only the vertical angles are congruent. E. All the interior angles are congruent.

Question

Kolton Hickman

Mathematics

11 February, 19:31

Line r cuts a pair of parallel lines. One of the eight angles created measures 90°. Which statements about the angles are true? A. All the angles are congruent. B. Only four of the angles measure 90°. C. All the angles are right angles. D. Only the vertical angles are congruent. E. All the interior angles are congruent.

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Russo · Answer 1

A. All the angles are congruent. C. All the angles are right angles. E. All the interior angles are congruent.

Step-by-step explanation:

Adjacent angles are supplementary. If one of them is 90°, then they both are. Another name for a 90° angle is "right angle." In this geometry, all 8 of the angles are right angles, including interior, exterior, vertical, linear, adjacent, and any other pairing you might name.

Any statement restricting the congruent angles to "only" some subset will be incorrect. Any and every subset of the angles contains congruent angles.