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Question

The measure of one of the angles of a triangle is twice the measure of its smallest angle and the measure of the other is thrice the measure of the smallest angle . Find the measures of three angles

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Solution

Let the smallest angle be x

Given that one angle is twice the smallest angle. Therefore, the angle measure is 2x

Given that other angle is thrice the smallest angle. Therefore, the angle measure is 3x

We know that sum of the angles in a triangle is 1800

Therefore, x+2x+3x=180

6x=180

x=300

Therefore, the smallest angle measure is 300 and
the other angle measures are 600,900

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