Question

I really need this answer.

Answer 1

17°

Explanation:

See the picture :)

We know these triangles are congruent, so angle ZWY = XWY. 60° ÷ 2 = 30°, and this allows us to find the third side of trangle WXY. Traingles have 180°, so we subtract the known angles 133° and 30° from that to get 17°. This is the measure of angle XYW. However, since the triangles are congruent, this is also the measure of angle ZWY.

Answer 2

WXY = 133° = WZY

ZWX = 60°

Let ZYW be x

`{ \rm{ \angle x + \angle WZY+ \angle ZWY = 180}} \\ \\ { \rm{x +133 + ( (1)/(2) * 60) = 180 }} \\ \\ { \rm{x = 180 - 133 - 30}} \\ \\ { \rm{x = 17 \degree}}`

Angle ZYW is 17°