Question

Answer for brainiest

Answer 1

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

Answer 2

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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