## In an isosceles triangle the vertex angle is half base angle take the base angle b m in degree and remember sum of the angles of a triangle

Question

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## Answers ( )

Answer:given that, above triangle is an

isoscelustrianglewith same base angles

let, vertex angle=a

base angles=b

also,vertexangleishalfofthebaseanglesi.e.

a=1/2 *b

2a=b

but, as we know that triangles are suplimentary in measure(180°)

.‘.a+b+b=180°a+2b=180°

a+2(2a)=180°

5a=180°

a=36°but

b=2a

b=2×36°

b=72°Therefore,measureofvertexangleis36°andmeasureofbaseanglesare72°inthegivenisoscelestriangleHope it helps to you☺️