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Nadusha1986 [10]
2 years ago
9

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 angl

e is one less than twice the first angle. Find the value of x.
Mathematics
2 answers:
lisov135 [29]2 years ago
5 0

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


Ludmilka [50]2 years ago
3 0

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

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