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Abcd is a parallelogram.If A = 4x-13 and D is 5x -22 find the value of x Please No Spam Or I Will Contact Developer to delete your account​

Answer»

Let ∠B = x. Then, ∠A = 3x. We know that opposite sides of a parallelogram are equal. ⇒ ∠A = ∠C = 3x ⇒ ∠B = ∠D = x. We know that Sum of the parallelogram angles is equal to 360°. ⇒ ∠A + ∠B + ∠C + ∠D = 360° ⇒ 3x + x + 3x + x = 360° ⇒ 8X = 360° ⇒ x = 45°. Then, ⇒ 3x = 3(45) = 135. Hence, the angles are : 135°,45°,135°,45°. Now, Given that AB = 5x - 7 and CD = 3x + 1 We know that opposite sides of a parallelogram are equal. ⇒ AB = CD ⇒ 5x - 7 = 3x + 1 ⇒ 2x = 8 ⇒ x = 4. Substitute x in CD, we get ⇒ 3x + 1 ⇒ 3(4) + 1 ⇒ 13. Therefore, the length of CD = 13. Hope it HELPS!Step-by-step explanation:


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