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(GEOMETRY) [WILL GIVE BRAINLIEST] REVIEW PIC BELOW |
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Answer» c) 123Step-by-step explanation:∵ the opposite sides of a parallelogram is equal5x + 4y = 7x - 2 (Just a SIMPLE property of the shape;)4y + 2 = 2xx = 2y + 1Also,2y + x = 3y + 52y + 2y + 1 = 3y + 5 = 4y + 1 = 3y + 5 (Replacing the values)y = 4And ∵ y = 4x = 2y + 1∴ x = 2 x 4 + 1 = 9But we need to FIND the angle BCDThe opposite angles of a parallelogram are equal (Just ANOTHER property of it)∴ 5a - 3 = 4a + 9a = 12Therefore angle BCD = 12 x 5 - 3 = 57Sum of all the sides of a parallelogram is 360°.And the SUM of a pair of adjacent angle = 180°. ∴ angle BCD = 180° - 57 = 123Just some simple calculationsHope you understood :) |
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