If the angles of a triangle are in the ratio 2:4:6, then the summation of the greatest
and smallest angles is:
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Answer:
Sum of angle of triangle is supplementry
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Step-by-step explanation:
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
∴ The required answer is 120.
Hope this is helpful for you.
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