Find the value of x.

Answer:
Step-by-step explanation:
the funny lines in the corners of the triangle mean that the angles are the same. Maybe you knew that?
The supplementary angle at the top right is just
180- 17x -23
now you have expressions for each of the 3 angles of the triangle which all add up to 180°
180= 7x + 2 + 7x +2 + 180- (17x -23)
180 = 14x +4 + 180 - 17x +23
180 = -3x +207
3x = 27
x = 9