The ratio of the measures of the three angles of a triangle is 1 : 2 : 6. The measure of the largest angle is? Fast!!!
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The ratio of the measures of the three angles of a triangle is 1 : 2 : 6. The measure of the largest angle is? Fast!!!
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Let's take the angles of the triangles as x , 2x ,6x .
Then ,
[tex]x + 2x + 6x =[/tex] 180° (Angle sum property of an triangle)
[tex]9x =[/tex] 180°
[tex]x= \frac{180}{9}[/tex]
[tex]x=[/tex] 180°
∴ Largest angle = 6x = 6 × 20° = 120°