Explanation:
the given traingle is a isosoles triangle.
in a isosles traingle base angles are equal.
(8x-23)+(8x-23)+34=180(sum of <s of triangle)
or,8x-23+8x-23+34=180
or,16x-46+34=180
or,16x-12=180
or,16x=180+12
or,16x=192
or,x=192/16
Therefore, x=12