Find all the angles of the isosceles triangle using the data in the figure.
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Find all the angles of the isosceles triangle using the data in the figure.
In an isosceles triangle, the base angles are equal to each other—that is, angles C and B are equal.
Now we can calculate the vertex angle.
Remember that the sum of angles in a triangle is equal to 180 degrees, therefore:
The values of the angles in the triangle are 62, 62, and 56.
62, 62, 56
Find the measure of the angle \( \alpha \)
The base angles are the two angles opposite the equal sides. In the diagram, angles B and C are at the base of the triangle, so they're equal to 62°.
If you know the vertex angle, subtract it from 180°, then divide by 2 to find each base angle. For example: if vertex = 40°, then each base angle =
No! By definition, an isosceles triangle has exactly two equal sides, which means the angles opposite those sides (base angles) must be equal too.
This is a fundamental property of all triangles! No matter what type of triangle you have, the three interior angles will always add up to exactly 180°.
The vertex angle is the angle between the two equal sides. It's usually different from the base angles and determines the triangle's exact shape.
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