Question

All the angles of a triangle are whole numbers. All the angels are different. What is the largest size of the biggest angle?

Answer 1

Answer:

 177°

Step-by-step explanation:

m∠A = α, m∠B = β, m∠ C = ω

α ≠ β ≠ ω, and α, β, ω are whole numbers, and α × β × ω ≠ 0 ⇒

α = 1° , β = 2° , ω = 177°

Answer 2

Answer:

Given: All the angles of a triangle are whole numbers. All the angels are different.

To find: What is the largest size of the biggest angle?

Step-by-step explanation:

We are provided with the two conditions:

• All the angles of a triangle are whole numbers.
• All the angels are different.

Let the three angles of the triangle = a, b and c,

c = (a+b)/2 + 30

a+b+60 = 2c or

a+b = 2c-60 …(1)

a+b+c = 180, or

a+b = 180-c …(2)

Equate (1) and (2)

2c-60 = 180-c

3c = 240, or

c = 80 deg.

The largest angle possible = 80 deg.

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