Question

If the angles of a triangle are in the ratio 2 : 4 : 6, then the summation of the greatest and smallest angles is:

Answer 1

Given ,

• The angles of a triangle are in the ratio 2 : 4 : 6

Let ,

The angles of a triangle are 2x , 4x and 6x

We know that ,

The sum of all angles of triangle is 180

Thus ,

2x + 4x + 6x = 180

12x = 180

x = 180/12

x = 15

Therefore ,

• The angles of a triangle are 30 , 60 and 90

Now , the summation of the greatest and smallest angles of triangle will be

90 + 30

120

$\sf \therefore \underline{The \: required \: answer \: is \: 120 }$

Answer 2

Answer:

Step-by-step explanation:

Sum of the angle of triangle =180°

2x+4x+6x = 180°

12x =180°

x= 180°/12

x=15

2x=2×15=30°

4x=4×15=60°

6x=6×15=90°

Greater angle=90°

Smaller angle=30°

I hope this helps you

Thank you