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24 votes
24 votes
which could be the angle measures of an acute triangle20 , 50 , 3020 , 90 , 7030 , 65 , 85120 , 45 , 15

User Naseef Chowdhury
by
3.0k points

1 Answer

18 votes
18 votes

For an acute triangle ​, each angle will be less than 90

And the sum of the angles will be 180

So, we will check the options :

A. 20 , 50 , 30

The sum of the angles = 20 + 50 + 30 = 100 < 180

the angles Could not be angles of the triangle

B. 20 , 90 , 70

one of the angles = 90

So, it is a right triangle ,

The angles Could not be angles of the triangle

C. 30 , 85 , 65

All of the angles less 90

The sum of the angles = 30 + 85 + 65 = 180

The angles Could be angles of the triangle

D. 120 , 45 , 15

One of the angles is greater than 90

It will be obtuse triangle

The angles Could not be angles of the triangle

So, the answer is : the angles ( 30 , 85 , 65 )

User Maxime Beauchamp
by
3.7k points
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