Question 966014

Let &nbsp;<B>x</B>&nbsp; be the measure of the first, &nbsp;the smallest angle of the triangle, &nbsp;in degrees.

Then the measure of the second angle is &nbsp;3x&nbsp; degrees, &nbsp;and the measure of the third angle is &nbsp;5x&nbsp; degrees. 

In total, &nbsp;the sum of these three angles of the triangle is &nbsp;x + 3x + 5x = 9x &nbsp;degrees. 

From the other side, &nbsp;as you know, &nbsp;the sum of interior angles of any triangle is &nbsp;180°.


It gives you an equation 

9x = 180°.


Hence, &nbsp;x = {{{180/9}}} = 20°. 


<B>Answer</B>. The smallest angle of the triangle is &nbsp;20°. &nbsp;Two other angles are of &nbsp;60°&nbsp; and &nbsp;100°. &nbsp;The largest angle is of &nbsp;100°.