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

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 is 180 degrees

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Hadley 3 weeks 2021-10-04T01:07:05+00:00 1 Answer 0 views 0

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    2021-10-04T01:08:45+00:00

    Answer:

    given that, above triangle is an isoscelus triangle

    with same base angles

    let, vertex angle=a

    base angles=b

    also ,

    vertex angle is half of the base angles

    i.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, measure of vertex angle is 36°

    and measure of base angles are 72° in the given isosceles triangle

    Hope it helps to you☺️

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