An isosceles triangle is a triangle with two sides of equal length. In this case, if the two equal angles are 35 degrees each, we can find the measure of the third angle by using the property that the sum of the angles in any triangle is always 180 degrees.

Since the two equal angles in the isosceles triangle are 35 degrees each, we can add them together to get 70 degrees. Next, we can subtract this sum from 180 degrees to find the measure of the third angle:

180 degrees - 70 degrees = 110 degrees

Therefore, the third angle in this isosceles triangle is 110 degrees. This means that the triangle has one angle of 110 degrees and two angles of 35 degrees each.

Isosceles triangles are a special type of triangle that can be easily identified by their two equal sides and two equal angles. In this case, knowing the measure of one of the equal angles allows us to find the measure of the third angle using the fact that the sum of the angles in any triangle is always 180 degrees.

Understanding the properties of different types of triangles, such as isosceles triangles, can help in solving geometric problems and understanding the relationships between angles and sides in a triangle. By knowing the properties and rules of different shapes, we can make accurate calculations and draw conclusions about the characteristics of geometric figures.

In summary, in an isosceles triangle where the two equal angles are 35 degrees each, the measure of the third angle is 110 degrees. This can be determined by using the property that the sum of the angles in any triangle is always 180 degrees. Understanding the properties of triangles and other geometric shapes can help in solving mathematical problems and making connections between different elements of geometry.

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