Question

in triangle abc angle ACD is an exterior angle abc is equal to AC and angle ACD is equal to 120 degree then find angle A​
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Answer 1

Answer:

angle A = 60°

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

Question:

In fig.,AB=AC and ∠ACD=120°.Find ∠A.

Answer:

We have,

AB=AC

➙∠B=∠C. [∵Angles opposite to equal sides are equal]

Now,∠ACB+∠ACD=180°. [Angles of a linear pair]

➙ ∠C+120°=180°

➙ ∠C=60°

➙ ∠B=60°. [∵∠B=∠C]

Using angle sum property in ∆ABC,we obtain

∠A+∠B+∠C=180°

➙ ∠A+60°+60°=180°. [∠B=∠C=60°]

➙ ∠A=60°