Q. 5

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?
A. (i) only

B. (ii) only

C. (iii) only

D. (i) and (ii)

Answer :

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 3rd 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°

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