Question

ABC is an equilateral triangle and CD is the internal bisector of C.IfDC is produced to E such that Ac=CE,the case is equal to​

Answer 1

Answer:

15°

Step-by-step explanation:

According to question

Given : ABC is an equilateral triangle

CD is the angle bisector of ∠C

AC = CE∴∠CAE=∠CEA

∠ACD=30∘

∴∠ECA=180∘−30∘

=150∘

In△CAE

∠CAE+∠CEA+∠ECA=180∘

∴2∠CAE=180∘−150∘

2∠CAE=30∘

∠CAE=15∘

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