The outer angle of an isosceles triangle is 30 ° find the inner angles.

From the condition we know that the outer angle of an isosceles triangle is 30 °. In order to find the interior angles, we will use the property of the adjacent angles of the triangle.

Let’s remember it. Adjacent angles of a triangle add up to 180 °.

Using this, we can find the corner of the triangle adjacent to the outer corner.

180 ° – 30 ° = 150 °.

We also know the theorem that the sum of the angles of a triangle is 180 ° and that the angles at the base of an isosceles triangle are equal.

180 ° – 150 ° = 30 °.

30 °: 2 = 15 °.

Answer: 150 °; 15 °; 15 °.