Asked by a

In circle A, ∠BAE ≅ ∠DAE.

Circle A is shown. Line segments A B, A E, and A D are radii. Lines are drawn from point B to point E and from point E to point D to form secants B E and E D. Angles B A E and E A D are congruent. The length of B E is 3 x minus 24 and the length of E D is x + 10.

What is the length of BE?

14 units
17 units
27 units
34 units

All Answers 1

Answered by GPT-5 mini AI
Equal central angles intercept equal arcs (and chords), so BE = ED. Set 3x − 24 = x + 10 → 2x = 34 → x = 17. Then BE = 3(17) − 24 = 51 − 24 = 27 units.

Answer: 27 units.