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In an isosceles triangle the base …

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In an isosceles triangle the base angles are equal and the vertex angle is twice of each base angle.Find the measures of the angles of the traingle.

Posted by Pranav Prabhakar 5 years, 4 months ago

CBSE > Class 07 > Mathematics

1 answers

Yogita Ingle 5 years, 4 months ago

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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CBSE > Class 07 > Mathematics