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

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 $4.10\ degrees$

Answer 2

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