Question

In the following figure, if AB=AC, then find ∠ x.​

Answer 1

Answer:

Step-by-step explanation:

From the given figure, it is also given that ∠ACD=115°.

Then, ∠ACB+∠ACD=108° (Straight line property)

⇒∠ACB+115=180

⇒∠ACB=65°

Also, it is given that AB=AC, therefore the angles made by these sides will also be equal, therefore m∠B=m∠C.

∠ABC=∠ACB=65°

Now, using the angle sum property in ΔABC, we have

∠BAC+∠ACB+∠CBA=180°

⇒x+65+65=180

⇒x+130=180

⇒x=50°

Thus, the value of x is 50°.

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