In an isosceles triangle, one angle is 70°. The other two angles are of

(i) 55° and 55°

(ii) 70° and 40°

(iii) any measure

In the given option(s) which of the above statement(s) are true?

Given: An isosceles triangle with one angle is 70°

Formula Used/Theory:-

In an isosceles triangle 2 angles are equal corresponding with 2 equal sides

⇒ If 70° is 3^rd angle of triangle

Then;

70° + x + x = 180°

2x = 180° - 70°

x =

x = 55°

Both angles are 55°

⇒ If 70° is Base angle of isosceles triangle

Then;

70° + 70° + x = 180°

x = 180° - 140°

x = 40°

one angle is 40° and another is 70°

∴ the angles can be either 55°, 55° or 70°, 40°