TheCATExam
Sign in

CAT 1995 — QA Question 14

Basics of TrianglesEasy

AB ⊥ BC, BD ⊥ AC and CE bisects ∠C, ∠A = 30°. Then what is ∠CED?

Answer & solution

Correct answer: 60°

  • A

    30°

  • 60°

  • C

    45°

  • D

    65°

Solution

In ∆ABC, ∆ACB = 180 – 90 – 30 = 60°.
∴ ∠DCE = 30°, since ∠CDE = 90°.
In ∆CED, ∠CED = 180 – 90 – 30 = 60°.

Related Basics of Triangles questions

See all Triangles questions →
CAT 1995 QA Q14: AB ⊥ BC, BD ⊥ AC and CE bisects ∠C, ∠A = 30°. Then what is ∠CED? — Solution | TheCATExam