Question

PLEASE HELP BRAINLIEST Find the value of x in the figure. ​

Answer 1

Answer:

x = 27

Step-by-step explanation:

Using the information in the figure, we can conclude that the 3x - 17, x + 40, and 2x - 5 would be the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180° (use the equation: (n-2) × 180°).

By using this information, we can conclude that (3x - 17) + (x + 40) + (2x - 5) would equal 180. We can put this into the equation:

(3x - 17) + (x + 40) + (2x - 5) = 180

To find the value of x in this equation (solve for x), we would have to get the equation into the form x = _.

(3x - 17) + (x + 40) + (2x - 5) = 180

3x - 17 + x + 40 + 2x - 5 = 180

Combine like terms.

6x + 18 = 180

Subtract 18 from both sides to get rid of the +18 on the left side.

6x = 180 - 18

Simplify.

6x = 162

Divide 6 form both sides to get rid of the coefficient of 6 on the left side.

x = 162 ÷ 6

Simplify.

x = 27

x = 27

I hope this helps. :)