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...