The angles of a triangle are in the ratio 1:2:7. Find the measure of each of the angles.
What type of a triangle is it?
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Let x be the common multiple for this ratio.
As we know that the interior sum of triangle is 180°.
So the equation will be,
1x + 2x + 7x = 180°
10x = 180°
x = 180/10
x = 18
So,
1st angle = 1x = 1(18) = 18°
2nd angle = 2x = 2(18) = 36°
3rd angle = 7x = 7(18) = 126 °
Since all angle are different, therefore it is a scalene triangle.
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