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The angle Johnny holds his pen on paper creates a linear pair. The measure of one angle is 13x+7. The measure of the second angle is one less than twice the first angle. Find the value of x.

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MissPhiladelphia

The angle Johnny holds his pen on paper creates a linear pair. The measure of one angle is 13x+7. The measure of the second angle is one less than twice the first angle. A linear pair is when the sum of two angle is 180

So (13x+7) + 2*(13x+7)-1 = 180

X = 4.10

calculista

we know that

Angles in a linear pair are supplementary angles

So

Let

A-------> the first angle

B------> the second angle

[tex] A+B=180\\ [/tex] ----> equation [tex] 1 [/tex]

[tex] A=13x+7\\ B=2A-1=B=26x+13 [/tex]

Substitute the values of A and B in the equation [tex] 1 [/tex]

[tex] 13x+7+26x+13=180\\ 39x=180-20\\ x=\frac{160}{39} [/tex]

[tex] \frac{160}{39}=4.10\ degrees [/tex]

therefore

the answer is

the value of x is [tex] 4.10\ degrees [/tex]


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