Question

in triangle abc ,ab=ac and angle a:angle b= 8:5 find the angles

Answer 1

Since, AB = AC,

∠ACB = ∠ABC, i.e., ∠C = ∠B (Angles opposite to equal sides of a triangle are always equal.)

Let ∠A = 8x° and ∠B = 5x°

Therefore, ∠C = ∠B = 5x°

Now, ∠A + ∠B + ∠C = 180°

or, 8x° + 5x° + 5x° = 180°

or, 18x° = 180°

or, x° = 10°

Hence, ∠A = 80°

∠B =50°

∠C = 50°

Answer 2

Answer:

angle a =50 , angle b=50 ,angle c=80