Question

In the adjoining figure,∆AOB is straight line.
i) If x=50,y=70, find z
ii) If=30,y,=3x, find z
iii) x:y:z=1:2:3, find x,y and z​

Answer 1

Answer:

i) 60°

ii) 60°

iii) 30°, 60°, 90°

Step-by-step explanation:

i) x° + y° + z° = 180°

  50° + 70° + z° = 180°

  120° + z° = 180°

  z° = 180° - 120°

  z° = 60°

ii) x° = 30°

   y° = 3x° = (30 X 3)° = 90°

   x° + y° + z° = 180°

   30° + 90° + z° = 180°

   120° + z° = 180°

   z° = 180° - 120° = 60°

iii) x:y:z = 1:2:3

    Let x° be x°, y be 2x° & z be 3x°

    x° + y° + z° = 180°

    x° + 2x° + 3x° = 180°

    6x° = 180°

    x° = $(\frac{180}{6})$°

    x° = 30°

    So, x° = 30°

          y° = 2 X 30° = 60°

          z° = 3 X 30° = 90°

PLEASE MARK BRAINLIEST...