c)The ratio between the vertical angle and a base angle of an isosceles triangle is 6:3. find all the angles of the triangles.
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It is given that the ratio between a base angle and the vertical angle of an isosceles triangle = 6:3
Consider base angle = 6x
Vertical angle =3x
In a triangle
x + 6x + 3x = 180°
By further calculation
10x = 180°
x = 18°
Therefore, each base angle -:
6x = 6 × 18 = 108°
3x = 3 × 18 = 54°
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