Question

Using the picture below, write and solve an equation to find x.
8x+9°
11x-19°

Answer 1

Answer:x = 10

Step-by-step explanation: 8x + 9 + 11x - 19 =180

add 8x and 11x , add 9 and -19

8x + 11x = 19x

9 - 19 = -10

19x - 10 = 180

add 10 to both side

19x =190

19x/19 = 190/19

x = 10

How I solved:

8x + 9 + 11x - 19 = 180

19x -10 = 180

+10 +10

19x = 190

/19 /19

x = 10

Answer 2

Equation: 8x + 9° + 11x - 19° = 180°

x = 10°

Explanation:

A linear pair is a pair of adjacent angles that form a straight angle. This means that the two angles together add up to 180 degrees.

In this case:

8x + 9° and 11x - 19° are pair angles of linear pair.

So

Equation will be:

8x + 9° + 11x - 19° = 180°

And

Let's solve it for x.

Simplify like terms:

19x - 10° = 180°

Add 10° on both sides.

19x - 10° + 10° = 180° + 10°

19x = 190°

Divide both sides by 19.

`(19x)/(19)=(190^\circ)/(19)`

x = 10°

Therefore, the value of x is 10°