Answer:
The measure of ∠X is 110°
Step-by-step explanation:
If two triangles are similar then their corresponding angles are same by AA similarity.
we can observe from provided triangles,
∠S=∠Y=23°
∠T=∠Z=47°
So, In triangle Δ XYZ ;
∠X +∠Y +∠Z = 180° (∵By angle sum property)
∠X +23° +47° = 180°
∠X +70° = 180°
Subtract 70° from both the sides in the above expression,
∠X = 180°-70°
∠X = 110°
Hence the measure of ∠X is 110°
