Question

Find the value of x. (The figure May not be drawn to scale.)

Answer 1

Answer:

18 degrees

Step-by-step explanation:

The sum of all angles in a triangle is 180 degrees. (We can figure this out by using this formula: (n-2)*180 where n is the number of angles. (3-2)*180 = 180)

We see that 140 is on the other side of the the angle of the triangle. We know that since the lines are the same ones as the one between the 140 degree angle the angle inside of the triangle is also 140 degrees.

To find x we need to use an algebraic formula

180 = 140 + 22 + x  (180 because of total of angles, 140 and 22 because those are the other angles in the triangle)

180 = 166 + x  (Add 140 and 22 together)

18 = x  (Subtract 162 from both sides (180-162 =  18))

x is 18 degrees

Answer 2

The value of x is 18 degrees