Question

find the value of x y and z​

Answer 1

Step-by-step explanation:

• 3x = y + z (Vertically opposite angles)
• x = y - 15 (Vertically opposite angles)

Now,

• 3x + x + (y + z) + (y - 19) = 360⁰
• 3x + x + 3x + x = 360⁰
• 8x = 360⁰
• x = 360⁰/8 = 45⁰

Now,

• x = y - 15
• y = x + 15
• y = 45 + 15
• y = 60⁰

And Now,

• 3x = y + z
• z = 3x - y
• z = 3×45 - 60
• z = 135 - 60
• z = 75⁰

Answer 2

Step-by-step explanation:

3x + x = 180° (Linear Pair)

4x = 180°

x = 180°/4

x = 45°

y - 15 = x (Vertically opposite angles)

y - 15 = 45°

y = 45°-15°

y = 60°

y + z = 3x (Vertically opposite angles)

60° + z = 3×45

60° + z = 135°

z = 135°-60°

z = 75°

Hence,x=45°;y=60° and z=75°