Question 1150932
<br>
x = exterior angle
5x = interior angle<br>
The sum of the interior and exterior angle is 180 degrees:<br>
{{{x+5x = 180}}}
{{{6x = 180}}}
{{{x = 30}}}<br>
The exterior angle is  x=30 degrees.
The interior angle is 5x=150 degrees.<br>
Since the triangle is isosceles and the sum of the three interior angles of the triangle is 180 degrees, the 150-degree interior angle can't be one of the congruent base angles; it is the vertex angle.<br>
And then, since the two base angles are equal and the vertex angle is 150 degrees, each of the two base angles is 15 degrees.<br>
ANSWER:  The angles of the triangle are 150, 15, and 15 degrees.<br>