Find the angles of an isosceles triangle if one of them is 72 degrees
| August 13, 2021 | education
From the condition it is known that we are given an isosceles triangle, and one of its angles of 72 ° is also known.
In order to find the two remaining angles of an isosceles triangle, let’s recall the properties of the angles of an isosceles triangle.
The angles at the base of an isosceles triangle are equal to each other.
It is also known that the sum of the angles of a triangle is 180 °.
1 case.
72 ° angle at the apex of the triangle.
180 ° – 72 ° = 108 ° sum of angles at the base.
108 °: 2 = 54 ° base angle.
2 case.
72 ° base angle.
108 ° – 72 ° * 2 = 180 ° – 144 ° = 36 ° apex angle.
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