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If the three angles of a triangular signboard are 2x°, (x – 10)° and (x + 30)° respectively. Then find it’s angles. |
Answer» Given the three angles of a triangular signboard are 2x°, (x – 10)° and (x +30)°. We know that in a triangle, 2x + (x – 10) + (x + 30) = 180° ⇒ 2x + x- 10° + x + 30 = 180° ⇒ 4x + 20 = 180° ⇒ 4x + 20 – 20 = 180° – 20° ⇒ 4x = 160° ⇒ 4x/4 = 160°/4 ∴ x = 40° Angles are 2x°, (x- 10)°, (x + 30)° 2(40°), 40° – 10, 40 + 30 Angles of signboard are : 80°, 30°, 70°. |
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