Question

Which of the following sets can be the angles of a triangle?
a) 80 degree20’,29 degree20’,70 degree10’

Answer 1

Answer:

We know that the sum of the interior angles of a triangle is 180∘. Let third angle in all the given triangles be x∘. Therefore,

(i) 38∘+100∘+x∘=180∘

    x∘=180∘−138∘

    x∘=42∘

(ii) 116∘+30∘+x∘=180∘

    x∘=180∘−146∘

    x∘=34∘

(iii) 80∘+40∘+x∘=180∘

    x∘=180∘−120∘

    x

Answer 2

a) 80 degree20’,29 degree20’,70 degree10’

will be the sets that can be the angles of a triangle