Find the value of x in this
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∠ U = 9x + 15°
∠ Y = 6x + 15°
Now,
Sum of adjacent angles in a Parellelogram is always equal to 180°
∴ ∠ U + ∠ Y = 180°
=> (9x + 15°) + (6x+15°) = 180°
=> 9x + 15° + 6x+15° = 180°
=> 15x + 30° = 180°
=> 15x = 180° - 30°
=> 15x = 150°
=> x =
=> x =
=> x = 10°
Now,
∠ U = 9x + 15° = 9 × 10 + 15° = 90° + 15° = 105°
∠ U = 9x + 15° = 9 × 10 + 15° = 90° + 15° = 105° ∠ Y = 6x + 15° = 6 × 10 + 15° = 60° + 15° = 75°