2. The angles of a triangle are in the ratio 3: 5:10. Find the measure of each angle of the
triangle.
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2. The angles of a triangle are in the ratio 3: 5:10. Find the measure of each angle of the
triangle.
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The ratio given is 3:5:10
Let the unknown constant be g
==> 3g + 5g + 10g = 180° [Angle sum property] =
==> 18g = 180°
==> g = 180/18
==D> g = 10°
Therefore, the measures are :
==> 3g = 3(10%) = 30°
==> 5g = 5(10%) = 50°
==> 10g = 10(10°) = 100° =
VeriFication:
3g + 5g + 10g = 180° Angle sum property]
3(10°) + 5(10°) + 10(10°) = 180°
30° + 50° + 100° = 180°
180° = 180°
Hence verified !