Respuesta :

absor201

Answer:

Please check the explanation.

Step-by-step explanation:

Given the angles of the trapezoid

  • x°
  • x°
  • 1/2x°
  • 1/2x°

As the sum of angle measure = 360°

i.e.

[tex]x+x+\frac{1}{2}x+\frac{1}{2}x=360[/tex]

[tex]x+x+2\cdot \frac{1}{2}x=360[/tex]

[tex]2x+2\cdot \frac{1}{2}x=360[/tex]

[tex]2x+x=360[/tex]

[tex]3x=360[/tex]

[tex]\frac{3x}{3}=\frac{360}{3}[/tex]

[tex]x=120[/tex]

The value of x = 120°

Hence, the angle measure will be:

  • x°=120
  • x°=120
  • 1/2x°=1/2(120)=60
  • 1/2x°=1/2(120)=60

Therefore, listing the angle measure in order from least to greatest

60°, 60 , 120 , 120°