Question

If angle opposite to one of the equal side of an isosceles triangle is 30 then the other angle are​

Answer 1

other angles are 30° and 120°

Explanation:

the angles that are opposite the equal sides of an isosceles triangle are congruent (equal ), then

the 2 base angles are 30°

the sum of the 3 angles in a triangle = 180° , then

vertex angle + base angles = 180° , that is

vertex angle + 30° + 30° = 180°

vertex angle + 60° = 180° ( subtract 60° from both sides )

vertex angle = 120°

the other 2 angles are therefore 30° and 120°

Answer 2

30° and 120°

Explanation:

In an isosceles triangle, two of its sides are equal in length, and the angles opposite those equal sides are congruent.

Therefore, if one of the angles opposite one of the equal sides of an isosceles triangle is 30°, then the other angle opposite the other equal side is also 30°.

Given that the sum of the angles in any triangle is always 180°, we can find the measure of the third angle by subtracting the measures of the congruent angles from 180°:

180° - 30° - 30° = 120°

Therefore, the measures of the other angles are 30° and 120°.