Question

in an isoceles triangle the vertical angle is 15° greater than each of its base angles find all the angles of triangle​

Answer 1

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Answer 2

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✔️QUESTION ✔️

in an isoceles triangle the vertical angle is 15° greater than each of its base angles find all the angles of triangle

✔️ANSWER ✔️

Let each angle of the base of the isosceles triangle = x°

Then vertical angle = x + 15°

Now x + x + x + 15° = 180°

(Sum of angles of a triangle)

⇒ 3x + 15° = 180°

⇒ 3x = 180° - 15° = 165°

∴ x = 165°/3 = 55°

Hence each base angle = 55°

and vertical angle = 55° + 15° = 70°

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