Respuesta :

Answer:

x = 67.5 degrees

Step-by-step explanation:

A circles' angles add upto 360 degrees and one of the angle is 90 degrees.

=> x+3x+90 = 360 degrees

=> 4x+90 = 360

=> 4x = 360-90

=> 4x = 270

Dividing both sides by 4

=> x = 67.5 degrees

So, the measure of <x is 67.5 degrees.

Answer:

X= 67.5°

Solution,

[tex]x + 3x + 90 = 360[/tex]

( sum of complete turn)

[tex]4x + 90 = 360[/tex]

Subtract 90 on both sides:

[tex]4x + 90 - 90 = 360 - 90[/tex]

[tex]4x = 270 \\ [/tex]

Divide both sides by 4

[tex] \frac{4x}{4} = \frac{270}{4} \\ x = 67.5[/tex]

Hope this helps...

Good luck on your assignment...