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If the vertex angle of an isosceles triangle is 90 degree then find the base angle

Sagot :

The base angle is calculated to be 45 degrees if the vertex angle of the isosceles triangle is 90 degrees

An isosceles triangle in mathematics is used to describe a triangle with two equal sides and two equal angles.

As the vertex angle is given to be 90 degrees, therefore the other two angles of the triangle will be equal. Considering x to be the base angle;

x + x + 90° = 180°

2x + 90° = 180°

Rearranging;

2x = 180° - 90°

2x =  90°

Solving for x;

x = 90° ÷ 2

x = 45°

Therefore, 45° is calculated to be the base angle of the isosceles triangle.

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