Question

In given figure, the measure of ∠BAC is​

Answer 1

Answer:

ans is 50 degree acc to the property that angle of two equal sides in a triangle has equal angle

Step-by-step explanation:

plz mark me as brainlist

Answer 2

Given: The triangle ABC is given, where ∠ABC = $2x+20^{o}$ and AC = $5cm$, AB = $6cm$ and BC $= 5cm$.

To find: The measure of ∠BAC

Solution:

It is observed from the given figure that the triangle ABC is an isosceles triangle,

∴ ∠BAC = ∠BCA

It is also known that the sum of all the angles in a triangle is equal to $180^o$.

∴$2x+20+2x+20+50=180$

⇒ $4x+90=180$

⇒ $4x = 180-90$

⇒ $4x = 90$

⇒ $x = \frac{90}{4}$

⇒ $x = 22.5^o$

∴ ∠BAC = $2x + 20 = 2 * 22.5 +20 = 65^o$

Final Answer:

Hence the value of ∠BAC = $65^o$