Question

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.

Answer 1

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

Answer 2

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=(160)/(39)`

`(160)/(39)=4.10\ degrees`

therefore

the answer is

the value of x is
`4.10\ degrees`