Question

In given figure, the measure of angle BAC is
​

Answer 1

Answer:

Hey friend

it is isosceles triangle so bac =abc

abc=50°

bac=2x+20°=50

Step-by-step explanation:

x=15

bac=15

Answer 2

Answer:

The measure of ∠BAC = 50°.

Step-by-step explanation:

Let the measure of ∠BCA be y.

As the given triangle ABC is an isosceles triangle with equal sides BC and AC = 5cm.

Now we know that if the sides are equal then the corresponding opposite angles are also equal.

i.e. ∠CAB = ∠ABC

⇒ 2x + 20 = 50

⇒ 2x = 30

⇒ x = 15°

Now the ∠CAB = 50°

But as ABC is a triangle, so from the angle sum property we know that:

The Sum of angles of a triangle is 180°.

i.e. ∠ABC + ∠BCA + ∠CAB = 180°
⇒ 50° + y + 50° = 180°

⇒ y + 100° = 180°

⇒ y = 80°

Hence, the measure of all angles in a triangle are ∠ABC = 50, ∠BCA = 80°, ∠CAB = ∠BAC = 50°

Therefore, the measure of ∠BAC = 50°.

#SPJ3