The measures of the angles of a triangle are in the ratio of 1 : 3 : 8. Knowing that the sum of measures of angles in a triangle is 180°, find the measure of the largest angle. Write your answer without degree unit.
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Answer:
Angles are in the ratio
=
1:
2:
3
Let the angles be
x,2x,3x
Sum of angles
=
180
x+
2x+
3x=
180
6x=
180
x=
30
∘
Hence, the angles are 30
∘
,60
∘
,90
∘
The triangle is a right angled triangle.
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