The base angle of an isosceles triangle is 15° more than its vertex angle . Find all the angles.
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Let vertical angle of the isosceles triangle = x°
∴ Each base angle = x + 15°
X + 15° + x + 15° + x° = 180°
(Sum of angles of a triangle)
⇒ 3x + 30° = 180°
⇒ 3x = 180° - 30° = 150°
∴ x = 150°/3 = 50°
Hence vertical angle = 50°
and each base angle = 50° + 15° = 65°
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