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5. The angles of a pentagon are in the ratio 4:5:11:13:12. Find the measures of each angle. |
| Answer» MEASURE of each ANGLE is 48°,60°,132°,156° and 144°Step-by-step explanation:Given the pentagon have 5 angles∴ All angles measure up to 540°∵Angles of a pentagon are in the ratio 4:5:11:13:12Let X be the common multiple, then we have 4x+5x+11x+13x+12x = 540→ 45x = 540∴ x = 12∴ 4x= 4x12 =48°5x = 5x12 = 60°11x = 11x12 = 132°13x = 13x12 = 156°12x = 12x12 = 144°thus measure of each angle is 48°,60°,132°,156° and 144° | |