Question

Given m n, find the value of x.
m
(5X-11)°
(6x-7)°

Answer 1

x = 18

Explanation:

the angles pictured are supplementary angles.

supplementary angles are angles whose sum equals 180°

ex: <1 + <2 = 180°

`5x - 11 + 6x - 7 = 180`

`11x - 18 = 180`

`11x = 198\\x = 18`

Answer 2

`\boxed{\sf{x=18}}`

Explanation:

To find the value of x, you have to use the supplementary angles which is equal to 180°.

Supplementary angles = 180°

5x-11+6x-7=180

Combine like terms.

`\sf{5x+6x-11-7=180}`

5x+6x=11x

`\sf{11x-11-7=180}`

Subtract the numbers from left to right.

-11-7=-18

`\sf{11x-18=180}`

You have to add by 18 from both sides.

11x-18+18=180+18

Solve.

Add the numbers from left to right.

180+18=198

11x=198

Divide by 11 from both sides.

11x/11=198/11

Solve.

198/11=18

`\rightarrow \boxed{\sf{x=18}}`

Therefore, the final answer is x=18.