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Sagot :
Answer:
x=72°
Step-by-step explanation:
We know angles around a point equals 360°
Therefore,
(2x-61)°+(x-11)°+3x°=360°
2x-61+x-11+3x=360°
Collect like terms,
2x+x+3x-61-11=360°
6x-72°=360⁰
Evaluate;
6x=360°+72°
6x=432°
Divide both sides by 6
x=72°
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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
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