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

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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 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)

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Salim Ahmed Kawsar · Answer 1 · Feb 05, 2023 15:29:48

Salim Ahmed Kawsar

Answered Feb 05, 2023

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Correct answer is (d) (i) and (ii)

Salim Ahmed Kawsar · Answer 2 · Feb 05, 2023 15:29:48

(d) (i) and (ii)

From the question it is given that,

One angle of isosceles triangle is 70^o.

We know that, in an isosceles triangle 2 angles are equal corresponding with 2 equal sides,

If 70^o is 3^rd angle of triangle,

70^o + x + x = 180^o

2x + 70^o = 180^o

2x = 180^o – 70^o

x = (110^o/2)

x = 55^o

So, both angles are 55^o

Consider the 70^o as base angle of isosceles triangle

Then, 70^o + 70^o + x = 180^o

x = 180^o – 140^o

x = 40^o

So, one angle is 40^o and another is 70^o

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

2 Answers