Question

The angles of a triangle are in the ratio of 5:6:7
respectively. What is the sum of the smallest age and the
largest angle together?
(i) 130
(ii) 100° (iii) 110° (iv) 140° (V) None o! these.​

Answer 1

Answer:

So let the angles be 5x, 6x and 7x

So, 5x+6x+7x=180(angle sum property of triangle).

18x=180, x=10

Smallest angle=5x=50°

Largest angle=7x=70°

Sum=50+70=120°

v) It should be none of these.

Answer 2

Answer:

(v) None of These (120⁰ will be the correct answer)

Step-by-step explanation:

Let the angles ba 5x,6x,7x

We Know,

Sum of all angles of a triangle = 180⁰

Therfore,

5x+6x+7x=180⁰

=>18x=180⁰

=>x=10⁰

Therefore,

The angles are : 50⁰,60⁰,70⁰

Sum of smallest and largest angle is = 50+70 =120⁰ (Answer)