Question

complete the figure AC is 8 cm angle B is 90 degree A is 60 degree angle C is 30 degree complete the following activity to find AB and BC​

Answer 1

Answer:

Step-by-step explanation:

∠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°.