Question

In triangle ABC , AB=BC and angle ACB =43° .Find angleABC and angle BAC.​

Answer 1

Step-by-step explanation:

if AB=BC (angle opposite. to equal sides)

therefore Angle C=A

angle A=43

A+B+C=180

43+43+C=180

B=94

Answer 2

∠ABC = 94° and ∠BAC = 43°.

To find : ∠ABC and ∠BAC.

Given :

In ΔABC,

AB = BC

Here, AB = BC

Reason : When two sides of a triangles are equal then it is said to be an isosceles triangle.

Hence, ∠ACB = ∠BAC

In isosceles triangle, if two sides are equal then its opposite angles are equal

So, ∠BAC = 43°    [ ∵ ∠ACB = 43° ]

In triangle, sum of the angle is 180°.

∠ACB + ∠BAC + ∠ABC = 180°

43° + 43° + ∠ABC = 180°

         86° + ∠ABC = 180°

                  ∠ABC = 180° - 86°      

                  ∠ABC = 94°

Therefore, the value of ∠ABC is 94° and ∠BAC is 43°.

To learn more...

1. In triangle ABC, AB=BC and angle B=64 degree Find angle C

brainly.in/question/7878943

2. In a triangle ABC, AB=AC, D is a point on AB such that AD=DC=BC. Show that angle BAC = 36°

brainly.in/question/5876047