Question

given an equilateral triangle ABC and a point O inside it angle BOC =99° ,angle AOC=129° find the largest angle of the triangle with sides lengths equal to AO,BO and CO

Answer 1

In order to find the largest angle in the triangle which has sides which are equal to AO, BO and CO

the answer to this is:

∠AOC + ∠BOC + ∠AOB = 360°

129° + 99° + ∠AOB = 360°

∠AOB = 360° - 228°

∠AOB = 132°

In order to find the largest angle which will be equal to AO, BO and CO

= 132° + 99°

= 231°

Answer 2

Dear Student,

Answer: ∠AOB = 132°

Solution:

As we know that total angle around a point is 360°.

Please see figure for reference.

As given that ∠BOC = 99°

∠AOC = 129°

∠BOC +∠AOC+∠AOB = 360°

99°+129°+∠AOB = 360°

∠AOB = 360°-99°-129°

∠AOB = 132°

So, the largest angle among all three is ∠AOB = 132°.

Hope it helps you.