Question

can you solve the question but tell me how to do it I'm trying to study but don't know how to solve it?

Answer 1

x = 10

Explanation:

• they are opposite angles, therefore congruent

• we solve with an equation

8x + 19 = 9x +9

19 - 9 = 9x - 8x

10 = 1x

x = 10

check

-------------------

8 * 10 + 19 = 9 * 10 + 9

80 + 19 = 90 + 9

99 = 99

the answer is good

Answer 2

8x+19=9x+9

Explanation:

Simplifying

(8x + 19) = (9x + 9)

Reorder the terms:

(19 + 8x) = (9x + 9)

Remove parenthesis around (19 + 8x)

19 + 8x = (9x + 9)

Reorder the terms:

19 + 8x = (9 + 9x)

Remove parenthesis around (9 + 9x)

19 + 8x = 9 + 9x

Solving

19 + 8x = 9 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.

19 + 8x + -9x = 9 + 9x + -9x

Combine like terms: 8x + -9x = -1x

19 + -1x = 9 + 9x + -9x

Combine like terms: 9x + -9x = 0

19 + -1x = 9 + 0

19 + -1x = 9

Add '-19' to each side of the equation.

19 + -19 + -1x = 9 + -19

Combine like terms: 19 + -19 = 0

0 + -1x = 9 + -19

-1x = 9 + -19

Combine like terms: 9 + -19 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10