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What is the value of x? J X+910 АН x+930 1 K X =

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Angles and unkown terms

We can see that the three angles side by form a complete circle. This means that they form together a 360º angle:

(x + 91º) + (x + 93º) + 2x = 360º

We are going to use this equation to find x.

Finding x

Step 1: combining like terms

We simplify the equation, adding all the terms that can be added:

(x + 91º) + (x + 93º) + 2x = 360º

x + 91º + x + 93º + 2x = 360º

↓ since 91º + 93º = 184º

x + x + 2x + 184º = 360º

↓ since x + x + 2x = 4x

4x + 184º = 360º

Step 2: solving the equation

Using the equation that we found, we find x leaving it "alone" on the left side:

4x + 184º = 360º

↓ taking 184º to the right side

4x = 360º - 184º

↓ since 360º - 184º = 176º

4x = 176º

↓ taking 4 to the right side

x = 176º/4

x = 44º

Answer: the value of x is 44º

User JG Estiot
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