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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

\(A+B=180\\\) ----> equation \(1\)

\(A=13x+7\\ B=2A-1=B=26x+13\)

Substitute the values of A and B in the equation \(1\)

\(13x+7+26x+13=180\\ 39x=180-20\\ x=\frac{160}{39}\)

\(\frac{160}{39}=4.10\ degrees\)

therefore

the answer is

the value of x is \(4.10\ degrees\)


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