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Natali5045456 [20]
3 years ago
6

Find the unknown sizes of angles:​

Mathematics
2 answers:
pav-90 [236]3 years ago
7 0
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
Elis [28]3 years ago
6 0

Step-by-step explanation:

<u>We </u><u>have</u><u> </u><u>,</u>

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

<u>As </u><u>we</u><u> know</u><u> </u><u>,</u>

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

<u>Hence</u><u> </u><u>,</u>

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