Answer :
It is 60 degrees, because we know that angle U is 25 degrees, and we can figure out that angle T is 95 degrees because angle W is 95 degrees. The sum of the angles of a triangle is 180 degrees.
180-(95+25)=180-120=60
180-(95+25)=180-120=60
Answer: The correct answer is 60⁰
Explanation-
As per the question, Δ STU is similar to ΔVWX. This means that both these triangles are congruent to each other.
According to the property of congruent triangles-
∠S= ∠V, ∠T= ∠W, and ∠U= ∠X
∠U= 25⁰
∠W= 95⁰= ∠T
Since the sum of all angles of a triangle is 180⁰
⇒ ∠S+∠T+∠U = 180⁰
Putting the value of ∠T and ∠U, we get-
∠S+95⁰+25⁰ = 180⁰
∠S+ 120⁰ = 180⁰
∠S = 180⁰-120⁰ = 60⁰
Thus, the measure of ∠S = 60⁰
