Answer:
x = 72°
Step-by-step explanation:
there is a total of 360 degrees in a circle
we know we can add the angle measures shown and set it equal to 360
3x + (x-11) + (2x-61) = 360
combine 'like terms':
6x + (-11) + (-61) = 360
6x + (-72) = 360
6x = 432
x = 72
Check:
[2(72)-61] + (72-11) + 3(72) should equal 360
(144-61) + 61 + 216 = 360
83 + 61 + 216 = 360
360 = 360
