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Construct an Equation

The base angle of an isosceles triangle is 'b' . The vertex angle is three times the base angle

Dear Student

Solution:

Let us assume that the base angle of the isosceles triangle be a^{o}, then the vertex angle will be 3a^{o}.

As we know that the sum of three angles of a triangle equal to 180^{o}.

a + a + 3a = 180

5a = 180

a = 180/5 = 36^{o}.

Since the base angles are equal, then the base angles are 36^{o} each, the vertex angle will be 3 x 36^{o} =108 ^{o}.

**Ans: Base angles: 36 ^{o} each Vertex angle: 108^{o}.**

Regards

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