Question

In a isosceles triangle the vertex angle is thrice of either base angle find the measure of the angles answer

Answer 1

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Answer 2

The measure of the angles are 108°, 36° and 36°.

Step-by-step explanation:

It is given that in an isosceles triangle the vertex angle is thrice of either base angle.

An isosceles triangle have two congruent angles.

Let x be the base angles.

vertex angle = 3x

According to angle sum property the sum of interior angle of a triangle is 180°.

$x+x+3x=180$

$5x=180$

Divide both sides by 5.

$x=36$

The measure of base angles are 36° and 36°.

Vertex angle $=3x=3(36)=108$

Therefore, the measure of the angles are 108°, 36° and 36°.

#Learn more

In an isosceles triangle, the vertex angle is 4 times either of the base angle. Find the angles of the triangle.

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