Question

A triangle has two equal sides and one angle that is 120∘ . What are the other two angles?

Answer 1

30 degrees

Explanation:

If a triangle has two equal sides, we're dealing with an isosceles triangle. Let's call the equal sides a and the unequal side b.

Now, the angle opposite the unequal side is called the base angle. Since we know one angle is 120 degrees, and the other two angles must add up to 60 degrees to make a total of 180 degrees in a triangle, each of the base angles must be 30 degrees.

Here's the breakdown:

- One angle is
`\(120^\circ\).`

- The sum of the other two angles is 60 degrees, making each of them 30 degrees

So, in this isosceles triangle, you have one larger angle (120 degrees) and two smaller base angles (30 degrees) that balance the geometric equation.