Question

in isosceles triangle , if vertex is equal to sum of the base angles then the measure of vertex angle is​

Answer 1

Answer:

Since the sum of the interior angles of any triangle adds up to 180∘ and also the base angles of an isosceles triangle are equal,we may let the base angles be x , then the vertex angle is 2x . ∴x+x+2x=180∘ .Please mark me as the brainliest

Answer 2

Since base angles in an isosceles triangle are equal
Therefore, Let the base angles be x
ATQ, vertex= x+x= 2x
x+x+2x= 180(Angle sum property of triangle)
4x=180
X=180/4
X=45
Vertex=2x=2*45=90
So, the measure of vertex is 90 degree