Question

Find the value of x in this​

Answer 1

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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 = ${\bold{\dfrac{150°}{15}}}$

=> x = ${\bold{\dfrac{\cancel{150°}}{\cancel{15}}}}$

=> 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°