you can use: exterior angle theorem and angle sum theorem OR, the sum of linear pair is 180°
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Exterior angle theorem and angle sum theorem are two ways you can find measures of the interior angles of the triangle .
What is Triangle?
A triangle is a three-sided polygon that consists of** three edges** and three vertices.
Given,
The measure of the exterior angle of an **isosceles **triangle which forms a linear pair with the vertex angle.
In an isosceles triangle two sides are equal .
We need to find measures of the interior angles of the triangle .
This can be done by using **angle sum **property and Exterior angle theorem.
The sum of three angles of a triangle is 180 degrees is a angle sum property and the measure of an **exterior **angle of a triangle is greater than either of the measures of the remote interior angles is exterior angle theorem.
Hence, exterior angle theorem and** angle sum theorem** are two ways you can find **measures **of the interior angles of the triangle.
To learn more on **Triangles **click:
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To find the angles of an isosceles triangle using the exterior angle and the angle sum theorems, you can calculate the opposite angles using the Exterior Angle Theorem or find the angles using the Angle Sum Theorem. The Exterior Angle Theorem states that the exterior angle equals the sum of the opposite interior angles, while the Angle Sum Theorem states that the sum of all interior angles equals 180 degrees. Both methods will help you determine the measures of the interior angles accurately.
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