Answer:
[tex]266^\circ[/tex]
Step-by-step explanation:
I will label the triangle as shown below.
Here, we know, WX = WY. Hence, WXY is an isosceles triangle.
Now,
[tex](\text{i})\ \angle X=\angle Y\ \ \ [\text{Base angles of isosceles triangle are equal.}]\\\text{or, }\angle X=\angle Y=43^\circ[/tex]
[tex]\text{(ii) }\angle W +\angle X+\angle Y=180^\circ\ \ \ [\text{Sum of angles of triangle is 180}^\circ.]\\\text{or, }\angle W+43^\circ+43^\circ=180^\circ\\\text{or, }\angle W=180^\circ-86^\circ\\\text{or, }\angle \text{W}=94^\circ[/tex]
Finally, we need to calculate the reflex angle W.
[tex]\text{(iii)\ }\text{ref. }\angle W=360^\circ-\angle W=360^\circ-94^\circ=266^\circ[/tex]
