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The measure of all of the interior angles of a triangle are in the extended ration 1 : 2 : 3. Which of the following choices is the value of the smallest angle?

A. 20 degrees

B. 30 degrees

C. 60 degrees

D. None of the choices are correct.

The measure of all of the interior angles of a triangle are in the extended ration 1 2 3 Which of the following choices is the value of the smallest angle A 20 class=

Respuesta :

sqdancefan
The total of ratio units is 1 +2 +3 = 6.
The total of angles in a triangle is 180°.
Each ratio unit stands for 180°/6 = 30°.
The smallest angle is 1 ratio unit, so is 30°, matching the 2nd selection.
jcherry99
Let the angles be in the ratio of 1:2:3 which is given.
The smallest angle is x
The next angle is 2x
The largest angle is 3x

All triangles have 180 degrees.

x + 2x + 3x = 180
6x = 180 
x = 180/6
x = 30 degrees. The smallest angle is 30 degrees.