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each of the two equal angle of an isoscales triangle is twice the third angle find the angle of the triangle |
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Answer» :-The MEASURE of each angleGiven:-The two angles of an isosceles triangle is twice the third angleSolution:-Let the triangle be ABCWe know that a triangle measures 180°So,Let the two equal angles be 2X and 2x respectively, and let the third ANGLE be x.According the QUESTION,⟹ 2x + 2x + x = 180° ⟹ 4x + x = 180°⟹ 5x = 180° ⟹ x = 180/5⟹ x = 36°The measure of the angles are:-⟹ 2x = 2 × 36° = 72°⟹ 2x = 2 × 26° = 72°⟹ x = 36°Now, Verification⟹ 72° + 72° + 36° = 180°⟹ 144° + 36° = 180°⟹ 180° = 180°L.H.S = R.H.SHence, Proved. |
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