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BCDE is a rectangle, ZOCD = 47°. Findangles x, y and z. If BD = 5a – 3 and EC =a + 5. Find a, length of EC. |
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Answer» Given : BCDE is a rectangle, ∠OCD = 47°. BD = 5a – 3 and EC = a + 5. To Find : angles x, y and z. length of EC. Solution: BCDE is rectangle Diagonals of rectangle are equal in length and bisect each other => BD = CE => 5a - 3 = a + 5 => 4a = 8 => a = 2 5a - 3 = 5(2) - 3 = 7 a + 5 = 2 + 5 = 7 Length of EC = 7 OD = OC => x = 47° z =x + 47° ( exterior angle of triangle = Sum of opposite TWO interior angles) => z = 47° + 47° => z = 94° y = x ( alternate interior angle) => y = 47° x = 47° , y = 47° , z = 94° , EC = 7 Learn More : BCDE is a rectangle, 13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ... |
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