Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

23. choose the best answer. the sum of the measures of angles ∠abd and …

Question

  1. choose the best answer. the sum of the measures of angles ∠abd and ∠dbe is 90°, so they are also called what kind of angles? diagram showing points a, b, f on a horizontal line, b with a vertical segment to e (right angle), d above left, c below, etc. options: linear pair, complementary angles, supplementary angles, vertical angles

Explanation:

Brief Explanations

To determine the type of angles, we recall the definitions:

  • Linear pair: Adjacent angles forming a straight line (sum to \(180^\circ\)).
  • Complementary angles: Two angles whose sum is \(90^\circ\).
  • Supplementary angles: Two angles whose sum is \(180^\circ\).
  • Vertical angles: Opposite angles formed by intersecting lines, equal in measure.

Given \(\angle ABD + \angle DBE = 90^\circ\), this matches the definition of complementary angles.

Answer:

B. complementary angles