a Isosceles b Obtuse c Right d AcuteSolutionSolution Since i

a) Isosceles

b) Obtuse

c) Right

d) Acute

Solution:

Since interior angles are of trinangle are in 2:3:7 ratio

therefore we assume each angle as 2x , 3x and 7x respectively

As we already know that sum of each angle in a triangle = 180

therefore

2x + 3x +7x = 180

12x =180

x= 15

thus each angle are 30 , 45 and 105

since one angle is greater than 105 therefore it is an Obtuse because Obtuse angled triangle must have one angle is greater than 90

thus answer (b) is correct that is obtuse