Question

Question 30

Which of the following triplets cannot be the angles of a triangle?
a) ${67}^{\circ },{51}^{\circ },{62}^{\circ }$
b) ${70}^{\circ },{83}^{\circ },{27}^{\circ }$
c) ${90}^{\circ },{70}^{\circ },{20}^{\circ }$
d) ${40}^{\circ },{132}^{\circ },{18}^{\circ }$

Answer 1

We know that, the sum of the interior angles of a triangle is ${180}^{\circ }$
Now, we will verify the given triplets:
a) ${67}^{\circ }+{51}^{\circ }+{62}^{\circ }={180}^{\circ }$
b) ${70}^{\circ }+{83}^{\circ }+{27}^{\circ }={180}^{\circ }$
c) ${90}^{\circ }+{70}^{\circ }+{20}^{\circ }={180}^{\circ }$
d) ${40}^{\circ }+{132}^{\circ }+{18}^{\circ }={190}^{\circ }$
Clearly, triplets in option (d) cannot be the angles of a triangle,because sum of interior angles of a triangle is equal to $180°$