In an isoceles triangle,the vertex angle is thrice of either the base angle.Find the vertex angle.
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Answer: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°.
Divide both sides by 5.
The measure of base angles are 36° and 36°.
Vertex angle
Therefore, the measure of the angles are 108°, 36° and 36°.
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In an isosceles triangle, the vertex angle is 4 times either of the base angle. Find the angles of the triangle.
Step-by-step explanation:
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