Question

Find the unknown sizes of angles:​

Answer 1

Explanation:

We have ,

• x = y ( vertically opposite angles )
• 3x = z ( ,, )

As we know ,

• Complete angle = 360°
• x + y + 3x + z = 360°
• x + x + 3x + 3x = 360°
• 8x = 360°
• x = 45°

Hence ,

• x = 45°
• y = x = 45°
• z = 3x = 45*3 = 135°
• 3x = 135°.

Answer 2

First we find X:
3x+x=180
4x=180
x=180/4
x=45.

3x=135

135+y=180
y=180-135
y=45

45+z=180
z=180-45
z=135

In conclusion, x=45, 3x=135, y=45 and z =135

Also note that the opposite angles are equal so you can just find 3x and that will be equal to z and x will be equal to y.

Hope this helped