Question

in an isosceles triangle the base angles are equal and the vertex angles twice of each find the measure of the triangle
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.plzzzzz...... help me friends my exam is tomorrow​

Answer 1

Since the base angles of isosceles triangle are equal, therefore,

Let the base angles be 'x' and 'x'.

Also it is given that the vertex angle is twice its base angle, therefore,

Let the vertex angle be '2x'.

Using Angle Sum Property of Triangle,

x + x + 2x = 180°

4x = 180°

x = 180°/4

x = 45°

Now, base angles = x = 45°

& vertex angle = 2x = 90°.

Hence, it is a Right Angled Triangle.

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